Mathematics
语言:中文
Language:English

current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 344*8cosxcosx >800sinxcosx-25*9.8 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        344 * 8 * cos x * cos x >800 * sin x * cos x - 25 * 9.8         (1)
        800 * sin x * cos x - 25 * 9.8 >0         (2)

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x < -8.183591 或  -5.953576 < x < -5.041999 或  -2.811983 < x < -1.900406 或  0.32961 < x < 1.241187 或  3.471202 < x < 4.382779 或  x > 6.612795

    From inequalities (1) and (2)
         x < -8.183591 或  -5.953576 < x < -5.041999 或  -2.811983 < x < -1.900406 或  0.32961 < x < 1.241187 或  3.471202 < x < 4.382779 或  x > 6.612795    (3)

    The final solution set is :

         x < -8.183591 或  -5.953576 < x < -5.041999 或  -2.811983 < x < -1.900406 或  0.32961 < x < 1.241187 或  3.471202 < x < 4.382779 或  x > 6.612795

    *Note: Radian.



Your problem has not been solved here? Please take a look at the  hot problems !


Return