Derivative function：
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function.
Note that the input function supports mathematical functions and other constants.
Current location：Derivative function > Derivative function calculation history > Answer
There are 1 questions in this calculation: for each question, the 15 derivative of x is calculated.
Note that variables are case sensitive.
\[ \begin{equation}\begin{split}[1/1]Find\ the\ 15th\ derivative\ of\ function\ cos(x + arcsin(cos(x)))\ with\ respect\ to\ x：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\Solution:&\\ \\ &\color{blue}{The\ 15th\ derivative\ of\ function:} \\=&sin(x + arcsin(cos(x))) - \frac{273922023375sin(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{1789623886050sin^{2}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{19666196550cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{3542724835650sin^{2}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{147496474125sin(x + arcsin(cos(x)))sin^{2}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{9587270818125sin^{3}(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{23904261906525sin^{3}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{292183491600sin^{2}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{127830277575sin^{2}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{127830277575sin^{3}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{640556116200sin(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{823170798450sin^{3}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{58107991891950sin^{4}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{9459440540550sin^{3}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{8}} - \frac{272517295050sin(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} + \frac{383490832725sin(x + arcsin(cos(x)))sin^{3}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{2428775273925sin(x + arcsin(cos(x)))sin^{4}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{8}} + \frac{44121436128000sin^{4}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{26844358290750sin^{4}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{14040127539900sin^{4}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{2373676524450sin^{2}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{1769957689500sin^{2}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{21571944644250sin^{3}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{3490494482475sin^{2}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{1334933956125sin^{3}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{6079664190600sin(x + arcsin(cos(x)))sin^{4}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{5493126263625sin(x + arcsin(cos(x)))sin^{4}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{3749363974125sin^{4}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{344413844775sin(x + arcsin(cos(x)))sin^{2}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{33968884950cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{1278222006600sin^{4}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{26333037180450sin^{4}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{8}} + \frac{765576937125sin(x + arcsin(cos(x)))sin^{3}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{4528844119800sin^{4}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{23464581940800sin^{3}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} - \frac{637491254400sin(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{6}} - \frac{8875073557350sin^{5}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{56557171821150sin^{4}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{13655508122025sin^{5}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{22731058350sin(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{9140732023500sin^{5}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{97790162344875sin^{5}(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{21002587625250sin^{3}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{6}} - \frac{104411668270140sin^{6}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{236082244167000sin^{5}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} - \frac{255021403762125sin^{5}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{1917454163625sin^{4}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{1917454163625sin^{5}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{9}} - \frac{248063784368400sin^{5}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{8}} - \frac{1917454163625sin(x + arcsin(cos(x)))sin^{5}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{232094518425sin^{2}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{95872708181250sin^{5}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{9}} - \frac{15768144819630sin^{6}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{3926215668375sin(x + arcsin(cos(x)))sin^{5}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{290217808430550sin^{6}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{814016932890sin^{6}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{524219070375sin(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{245811536620650sin^{5}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{107702969947650sin^{5}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{1753287205950sin^{4}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{7414071255360sin^{6}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{22156779870225sin^{6}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{2590679218050sin(x + arcsin(cos(x)))sin^{5}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{37555123619475sin(x + arcsin(cos(x)))sin^{6}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{41532256887660sin^{7}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{350802804602250sin^{6}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{42377673838500sin^{4}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{626512956300sin^{2}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{695886959565sin^{6}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{16287069700440sin(x + arcsin(cos(x)))sin^{6}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{50228777760sin^{6}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{13168482220845sin^{7}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{2323775378925sin^{2}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{5}} - \frac{101152917142200sin^{5}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{6}} - \frac{13153041663300sin^{4}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{38787358509900sin(x + arcsin(cos(x)))sin^{6}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{2721232869075sin^{5}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{1146412833315750sin^{7}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{8}} + \frac{8548698519900sin^{3}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{338311960336350sin^{6}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{8}} + \frac{847999914300sin^{3}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{1726146261210sin^{7}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{3070094209875sin(x + arcsin(cos(x)))sin^{6}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{61674597109125sin^{7}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{2165307883200sin(x + arcsin(cos(x)))sin^{4}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{3759288467130sin^{8}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{59151409268490sin^{8}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{2323420649550sin(x + arcsin(cos(x)))sin^{7}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{8206112653200sin^{3}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{5}} + \frac{523143646003440sin^{7}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} - \frac{19097833284810sin^{5}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{5}} + \frac{59065697880sin^{8}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{148283121987000sin^{6}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{108554201596890sin^{7}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{6}} + \frac{14700481921125sin(x + arcsin(cos(x)))sin^{6}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{9}} - \frac{26296514244000sin^{6}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{152118030314250sin^{6}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{156183181875sin^{4}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{42549220964250sin^{7}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{274819464681300sin^{6}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{37445232825sin(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{5}} - \frac{170266285665sin^{9}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{18672954300cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{520742722500sin(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{5}} + \frac{281995663950sin(x + arcsin(cos(x)))sin^{2}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{5}} - \frac{21255618380535sin^{5}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{344745488227140sin^{8}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{2878527204630sin(x + arcsin(cos(x)))sin^{7}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{8828832450sin^{6}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{755236905885sin^{8}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{95538669825060sin^{6}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{476784992880sin^{8}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{563447773350sin(x + arcsin(cos(x)))sin^{5}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{1152663874362000sin^{7}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{9}} + \frac{8663885240640sin^{7}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{5}} - \frac{177648471000sin(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{64964970150sin^{4}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} - \frac{4236950790450sin^{9}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{34001533755sin^{8}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{505414047600sin(x + arcsin(cos(x)))sin^{3}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{980147104335sin(x + arcsin(cos(x)))sin^{7}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{298920439478430sin^{9}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} + \frac{879042864199500sin^{8}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{1186995434625sin(x + arcsin(cos(x)))sin^{7}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{30473837208045sin^{9}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{606108853350sin^{2}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{4}} - \frac{11309738987925sin(x + arcsin(cos(x)))sin^{8}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{584243094960sin^{9}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{5}} + \frac{61717940955sin^{7}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{4}} - \frac{152142718770sin^{10}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{54669913313400sin(x + arcsin(cos(x)))sin^{8}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{313296176190sin^{5}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{4}} - \frac{1554874432650sin^{4}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{4}} - \frac{26400173977800sin^{9}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{6}} + \frac{19548193424760sin^{8}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{1206900434990250sin^{7}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{11370178606185sin^{7}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{13393937569320sin^{6}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{5}} - \frac{94628023750260sin^{9}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{75283639200sin^{2}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{1308932480040sin^{5}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{4}} + \frac{516870444195sin(x + arcsin(cos(x)))sin^{9}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{4400863905sin^{6}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{160935214770sin^{7}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{4}} - \frac{57507184350sin^{2}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} - \frac{841601733840sin(x + arcsin(cos(x)))sin^{8}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{5}} - \frac{7697233570950sin^{10}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{563853104550sin^{6}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{4}} + \frac{94236695595sin^{10}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{1348741032879240sin^{9}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{8}} + \frac{431518494156750sin^{7}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{10}} + \frac{1434156795225sin^{3}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{1314460224000sin^{10}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{1552224799125sin(x + arcsin(cos(x)))sin^{7}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{10865573593875sin^{6}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{220200005025sin^{3}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{4}} + \frac{124601211022365sin^{7}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{1338372085050sin^{3}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{4}} + \frac{442384067750625sin^{7}(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} + \frac{10865573593875sin^{7}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{10}} + \frac{1193660870527125sin^{7}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{5029691124150sin^{11}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{105175724824170sin^{10}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{117695831628375sin(x + arcsin(cos(x)))sin^{8}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{8}} + \frac{210590022825sin^{11}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{566999323540650sin^{7}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{1007820245250sin^{11}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{6}} + \frac{199935050580sin(x + arcsin(cos(x)))sin^{6}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{4}} + \frac{2643848400sin^{4}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{164657423700sin^{12}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{425283838769790sin^{11}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{8}} - \frac{1620039635865sin^{5}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{61696671411375sin^{8}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{5677481588625sin(x + arcsin(cos(x)))sin^{9}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{359416212sin^{4}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} + \frac{40377172928400sin^{11}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} - \frac{8911379643sin^{5}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{3}} - \frac{354595955175sin(x + arcsin(cos(x)))sin^{4}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{4}} - \frac{2440901740410sin^{8}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{22495866423030sin(x + arcsin(cos(x)))sin^{9}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{18370005852sin^{5}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{3}} - \frac{2823466027882500sin^{9}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{9}} + \frac{998302292237250sin^{8}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{143525440933875sin^{9}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{1050862057245sin^{10}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{115308127935000sin(x + arcsin(cos(x)))sin^{8}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{35985907392435sin^{11}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{309623768338500sin^{8}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{20734213500sin(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{4}} - \frac{175587211800sin(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{4}} - \frac{822395227500sin^{13}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} - \frac{106552752075sin^{12}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{22725427725sin(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} - \frac{111749108625sin^{13}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{321086959200sin^{7}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{98433803475sin(x + arcsin(cos(x)))sin^{7}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{823043703982500sin^{8}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{63109396350sin^{14}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{2189020365sin(x + arcsin(cos(x)))sin^{5}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{255660555150sin^{15}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{8}} + \frac{54199134990sin^{2}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{3}} + \frac{42038471475sin^{14}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{559567686377700sin^{10}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{48596907186450sin^{8}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{18261468225sin^{15}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{8}} + \frac{1622235024900sin(x + arcsin(cos(x)))sin^{10}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{7136234755650sin^{12}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{30167888751000sin^{13}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{8}} + \frac{81849100725sin^{3}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} - \frac{1441976936400sin^{12}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{2772990470250sin^{13}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{2448058362750sin^{14}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{39930628988250sin(x + arcsin(cos(x)))sin^{9}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{8765504748000sin^{15}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{9}} - \frac{36314606356875sin^{9}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{551675124000sin^{14}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{547844046750sin^{15}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{19957823233425sin(x + arcsin(cos(x)))sin^{10}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{19782810450sin^{3}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{3}} + \frac{71155141200sin^{3}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{3}} + \frac{88094429473050sin^{12}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{2390038826175sin^{12}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{20832078492225sin^{13}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{9}} - \frac{300956062557150sin^{13}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{9}} + \frac{3606302700cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{1828032604398000sin^{11}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{9}} - \frac{27997938218250sin^{14}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{95687742150sin(x + arcsin(cos(x)))sin^{2}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{4}} + \frac{83820139152750sin^{15}(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{10}} - \frac{121558137sin^{4}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} - \frac{1271379824820sin^{9}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{1132509002625sin^{14}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{955726983461250sin^{8}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{9}} - \frac{8912343825sin^{2}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{4656674397375sin^{15}(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{49195241550sin^{4}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{3}} + \frac{124415294850sin(x + arcsin(cos(x)))sin^{3}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{25781358002400sin^{10}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{113998175190900sin^{11}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{437786456807700sin^{12}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{1246367353631400sin^{13}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{10}} + \frac{16592075299800sin^{12}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{351890143109505sin^{9}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{69441668396100sin^{13}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{12293949192525sin(x + arcsin(cos(x)))sin^{11}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{131969811273300sin^{14}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} + \frac{90256479473160sin(x + arcsin(cos(x)))sin^{10}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{1180513890sin^{2}(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} + \frac{337054527810000sin^{15}(x)cos^{7}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{11}} - \frac{4148363419200sin^{14}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{1126162855125sin(x + arcsin(cos(x)))sin^{11}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{16852726390500sin^{15}(x)cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{11}} - \frac{760556160sin(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} - \frac{32632404660sin^{5}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} - \frac{1338627295155150sin^{10}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{84167039533500sin^{10}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{7}} + \frac{4760538322050sin^{10}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{3696281607768750sin^{11}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{10}} - \frac{1443546165600sin(x + arcsin(cos(x)))sin^{12}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{4115446335sin(x)cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{3}} + \frac{57700813245075sin^{11}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} - \frac{22216284090sin(x)cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{3}} - \frac{87798307471875sin^{10}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{2746107416052000sin^{9}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{10}} - \frac{49954381126650sin(x + arcsin(cos(x)))sin^{11}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{179598629184975sin^{11}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{10}} + \frac{72732819159000sin^{8}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{1483299685617750sin^{9}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{594297854sin^{3}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{2}} - \frac{18413577000sin(x + arcsin(cos(x)))sin^{4}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{3}} + \frac{5351019165sin(x + arcsin(cos(x)))sin^{5}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{495092564906940sin^{10}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{8}} + \frac{412891796567250sin^{8}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{2999440358664750sin^{9}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{400473998174250sin^{8}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{10}} + \frac{997183808220600sin^{12}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} + \frac{511224127288875sin^{11}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{358928059sin^{3}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{2}} + \frac{32448889848375sin(x + arcsin(cos(x)))sin^{9}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{41910069576375sin(x + arcsin(cos(x)))sin^{8}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{104812131674250sin^{9}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{2452457979972000sin^{13}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{11}} + \frac{61856838818775sin^{12}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{2860750304787375sin^{9}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{1032229491418125sin^{9}(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} - \frac{114882037144875sin^{13}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{11}} + \frac{2344573123200sin^{11}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{289148001392250sin^{14}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{1082218512375sin(x + arcsin(cos(x)))sin^{13}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{648829966034250sin^{15}(x)cos^{9}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{12}} + \frac{1241929587798900sin^{10}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{2034950825857950sin^{11}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} - \frac{17117891665875sin^{14}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{29492271183375sin^{15}(x)cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{12}} + \frac{1379824364768850sin^{10}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{246634560sin^{2}(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} + \frac{3956288169383550sin^{11}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} + \frac{481013032500sin(x + arcsin(cos(x)))sin^{14}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{1598414sin^{2}(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} - \frac{103363388528400sin^{10}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{379915160625sin(x + arcsin(cos(x)))sin^{15}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{138039149798550sin^{11}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{11}} - \frac{1449896227129350sin^{10}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{4250711653650sin^{12}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{2016362848500sin^{13}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{558387001071900sin^{10}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{11}} + \frac{3667229865874575sin^{11}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{184496014828125sin(x + arcsin(cos(x)))sin^{10}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{3502915783567200sin^{11}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{11}} + \frac{1294978816506375sin^{11}(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} - \frac{69026278270950sin^{12}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{195199sin^{2}(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} - \frac{16678112375925sin(x + arcsin(cos(x)))sin^{12}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{8}} - \frac{44485404838875sin^{13}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{11544525617625sin(x + arcsin(cos(x)))sin^{13}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} - \frac{382638857901300sin^{12}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{1040630320179450sin^{12}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{901551648sin^{3}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} + \frac{1027423215sin^{2}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{2}} + \frac{5302423751625sin(x + arcsin(cos(x)))sin^{14}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{9}} - \frac{2276225864312400sin^{13}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{12}} - \frac{368159982515325sin^{13}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{72926343289800sin^{12}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} - \frac{92367868442850sin^{13}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{12}} - \frac{3954735910125sin(x + arcsin(cos(x)))sin^{15}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{9088850925sin(x + arcsin(cos(x)))sin^{3}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} - \frac{918206252063100sin^{12}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{292832816626350sin^{14}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} + \frac{591990316117200sin^{15}(x)cos^{11}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{13}} - \frac{1401687215878950sin^{13}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{2383293sin(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} - \frac{20238985166400sin^{14}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} - \frac{71739674206200sin(x + arcsin(cos(x)))sin^{12}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{46371841465950sin(x + arcsin(cos(x)))sin^{13}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{24666263171550sin^{15}(x)cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{13}} - \frac{92920046269050sin(x + arcsin(cos(x)))sin^{11}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{29492271183375sin^{8}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{29492271183375sin^{9}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{11}} - \frac{985475942901450sin^{12}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{11}} - \frac{1002737220234750sin^{9}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{11}} + \frac{21935215902600sin(x + arcsin(cos(x)))sin^{14}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{2641655040774750sin^{13}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} - \frac{226805670sin(x)cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{2}} - \frac{15591718192050sin(x + arcsin(cos(x)))sin^{15}(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{387868051320750sin^{12}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{12}} - \frac{2392943761783575sin^{13}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} - \frac{140834394976275sin(x + arcsin(cos(x)))sin^{12}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{830114625965625sin^{13}(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{27}{2}}} + \frac{85878193851450sin(x + arcsin(cos(x)))sin^{13}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{33968884950sin(x + arcsin(cos(x)))sin(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{41689873850625sin(x + arcsin(cos(x)))sin^{14}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{11}} - \frac{189098910sin(x + arcsin(cos(x)))sin(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} + \frac{189098910cos^{5}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} - \frac{28461072890250sin(x + arcsin(cos(x)))sin^{15}(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{12220393185sin(x + arcsin(cos(x)))sin^{2}(x)cos^{4}(x)}{(-cos^{2}(x) + 1)^{3}} - \frac{722849400sin(x)cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{2}} - \frac{41289179656725sin^{10}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{173435250888900sin(x + arcsin(cos(x)))sin^{10}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{10}} + \frac{41289179656725sin^{11}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{12}} - \frac{578048515194150sin^{10}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{1253689636849650sin^{11}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{12}} - \frac{80407932429825sin(x + arcsin(cos(x)))sin^{11}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} + \frac{9830757061125sin(x + arcsin(cos(x)))sin^{9}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} + \frac{28777307033475sin^{12}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} + \frac{51674265sin(x + arcsin(cos(x)))sin^{3}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} - \frac{19666196550sin(x + arcsin(cos(x)))sin(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{128080720567800sin(x + arcsin(cos(x)))sin^{12}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{11}} + \frac{399725235sin(x + arcsin(cos(x)))sin^{2}(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{2}} + \frac{74315023657875sin(x + arcsin(cos(x)))sin^{13}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} - \frac{28777307033475sin^{13}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{13}} + \frac{402882298468650sin^{12}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} + \frac{36903149583300sin(x + arcsin(cos(x)))sin^{14}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{12}} - \frac{24350029028325sin(x + arcsin(cos(x)))sin^{15}(x)cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} - \frac{1187550sin(x + arcsin(cos(x)))sin(x)cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} - \frac{801337318932150sin^{13}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{13}} - \frac{110681950128750sin^{14}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{27}{2}}} + \frac{1187550cos^{3}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} + \frac{1415370206250sin^{14}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{8}} + \frac{653837184000sin^{15}(x)sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)^{\frac{17}{2}}} + \frac{60950693778975sin(x + arcsin(cos(x)))sin^{10}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{11}} - \frac{26274932508825sin(x + arcsin(cos(x)))sin^{11}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{205552193096250sin^{15}(x)cos^{13}(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{14}} - \frac{1984712sin(x)cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)} + \frac{21563005464000sin^{14}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{9}} + \frac{13268084704875sin^{15}(x)sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{\frac{19}{2}}} + \frac{114182958789900sin^{14}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{10}} - \frac{1586131sin(x)cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)} - \frac{7905853580625sin^{14}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{27}{2}}} + \frac{104068531742175sin^{15}(x)sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{21}{2}}} - \frac{18672954300sin(x + arcsin(cos(x)))sin(x)cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{43791554181375sin(x + arcsin(cos(x)))sin^{12}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{12}} + \frac{24350029028325sin(x + arcsin(cos(x)))sin^{13}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} + \frac{264576019207500sin^{14}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{11}} + \frac{382368327090750sin^{15}(x)sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{\frac{23}{2}}} + \frac{276168652209450sin^{14}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{12}} + \frac{702672266245950sin^{15}(x)sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{\frac{25}{2}}} + \frac{624562432869375sin^{15}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{27}{2}}} + \frac{12333131585775sin(x + arcsin(cos(x)))sin^{14}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{13}} - \frac{3606302700sin(x + arcsin(cos(x)))sin(x)cos^{6}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{7905853580625sin^{15}(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{14}} - \frac{7905853580625sin(x + arcsin(cos(x)))sin^{15}(x)cos^{12}(x)}{(-cos^{2}(x) + 1)^{\frac{27}{2}}} + \frac{106254672123600sin^{14}(x)sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{13}} + \frac{213458046676875sin^{15}(x)sin(x + arcsin(cos(x)))cos^{14}(x)}{(-cos^{2}(x) + 1)^{\frac{29}{2}}} - \frac{1404728325sin(x)cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{8192sin(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{1}{2}}} - \frac{120127200sin^{4}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{2}} + \frac{2500863396sin^{6}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{3}} + \frac{7368859575sin(x + arcsin(cos(x)))sin^{14}(x)}{(-cos^{2}(x) + 1)^{7}} - \frac{6227020800sin(x + arcsin(cos(x)))sin^{15}(x)}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{21716752995sin(x + arcsin(cos(x)))sin^{10}(x)}{(-cos^{2}(x) + 1)^{5}} + \frac{72303192sin(x + arcsin(cos(x)))sin^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} + \frac{531442sin^{3}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} - \frac{1326096240sin(x + arcsin(cos(x)))sin^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} - \frac{117730875sin(x + arcsin(cos(x)))sin^{4}(x)}{(-cos^{2}(x) + 1)^{2}} - \frac{236080845sin(x + arcsin(cos(x)))cos^{4}(x)}{(-cos^{2}(x) + 1)^{2}} + \frac{7446075840sin(x + arcsin(cos(x)))sin^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} - \frac{15088476960sin^{8}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{4}} + \frac{1927105149sin(x + arcsin(cos(x)))sin^{6}(x)}{(-cos^{2}(x) + 1)^{3}} - \frac{20921265225sin(x + arcsin(cos(x)))sin^{12}(x)}{(-cos^{2}(x) + 1)^{6}} - \frac{17137960560sin(x + arcsin(cos(x)))sin^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{36189270180sin^{10}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{5}} + \frac{46981935cos(x + arcsin(cos(x)))cos^{5}(x)}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} + \frac{2199322125cos(x + arcsin(cos(x)))cos^{9}(x)}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{17174203200sin(x + arcsin(cos(x)))sin^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{9975687165sin(x + arcsin(cos(x)))sin^{8}(x)}{(-cos^{2}(x) + 1)^{4}} + \frac{1326096240sin^{7}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{13702065300sin^{14}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{7}} + \frac{6227020800sin^{15}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{15}{2}}} + \frac{17137960560sin^{11}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} + \frac{589680cos(x + arcsin(cos(x)))cos^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} - \frac{37183406400sin^{12}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{6}} - \frac{17174203200sin^{13}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} + \frac{1000548sin(x + arcsin(cos(x)))sin^{2}(x)}{(-cos^{2}(x) + 1)} + \frac{3064861800cos(x + arcsin(cos(x)))cos^{11}(x)}{(-cos^{2}(x) + 1)^{\frac{11}{2}}} - \frac{531442sin(x + arcsin(cos(x)))sin^{3}(x)}{(-cos^{2}(x) + 1)^{\frac{3}{2}}} - \frac{37033746750sin(x + arcsin(cos(x)))cos^{10}(x)}{(-cos^{2}(x) + 1)^{5}} - \frac{20872276425sin(x + arcsin(cos(x)))cos^{8}(x)}{(-cos^{2}(x) + 1)^{4}} - \frac{7446075840sin^{9}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{9}{2}}} + \frac{793065sin^{2}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)} - \frac{72303192sin^{5}(x)sin(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{5}{2}}} - \frac{4191887700sin(x + arcsin(cos(x)))cos^{6}(x)}{(-cos^{2}(x) + 1)^{3}} - \frac{1777230sin(x + arcsin(cos(x)))cos^{2}(x)}{(-cos^{2}(x) + 1)} + \frac{1404728325cos(x + arcsin(cos(x)))cos^{13}(x)}{(-cos^{2}(x) + 1)^{\frac{13}{2}}} - \frac{21070924875sin(x + arcsin(cos(x)))cos^{12}(x)}{(-cos^{2}(x) + 1)^{6}} + \frac{585585000cos(x + arcsin(cos(x)))cos^{7}(x)}{(-cos^{2}(x) + 1)^{\frac{7}{2}}} + \frac{8191cos(x + arcsin(cos(x)))cos(x)}{(-cos^{2}(x) + 1)^{\frac{1}{2}}} + \frac{8192cos(x)cos(x + arcsin(cos(x)))}{(-cos^{2}(x) + 1)^{\frac{1}{2}}} - \frac{8192sin(x + arcsin(cos(x)))sin(x)}{(-cos^{2}(x) + 1)^{\frac{1}{2}}}\\ \end{split}\end{equation} \]