Mathematics
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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 sinx     Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
         sin x < cos x         (1)
         cos x < tan x         (2)

    From inequality(1):
         -14.922565 < x < -11.780972 或  -8.63938 < x < -5.497787 或  -2.356194 < x < 0.785398 或  3.926991 < x < 7.068583 或  10.210176 < x < 13.351769
    From inequality(2):
         x < -7.853982 或  -5.616946 < x < -4.712389 或  -3.807832 < x < -1.570796 或  0.666239 < x < 1.570796 或  2.475353 < x < 4.712389 或  x > 6.949425

    From inequalities (1) and (2)
         -14.922565 < x < -11.780972 或  -8.63938 < x < -7.853982 或  -5.616946 < x < -5.497787 或  x < -7.853982 或  -2.356194 < x < -1.570796 或  0.666239 < x < 0.785398 或  -3.807832 < x < -1.570796 或  3.926991 < x < 4.712389 或  6.949425 < x < 7.068583 或  10.210176 < x < 13.351769     (3)

    The final solution set is :

         -14.922565 < x < -11.780972 或  -8.63938 < x < -7.853982 或  -5.616946 < x < -5.497787 或  x < -7.853982 或  -2.356194 < x < -1.570796 或  0.666239 < x < 0.785398 或  -3.807832 < x < -1.570796 或  3.926991 < x < 4.712389 或  6.949425 < x < 7.068583 或  10.210176 < x < 13.351769

    *Note: Radian.



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