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/(cosx)^2+sinx-2x >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sin x / ( cos x ) ^ 2 + sin x - 2 * x >0         (1)
        From the definition field of divisor
         cos x ≠ 0        (2 )

    From inequality(1):
         x < -14.326691 或  -13.944991 < x < -8.10864 或  -7.59033 < x < -2.10314 或  0 < x < 2.10314 或  7.59033 < x < 8.10864 或  x > 13.944991
    From inequality(2):
         x < -14.137167 或  -14.137167 < x < -10.995574 或  -10.995574 < x < -7.853982 或  -7.853982 < x < -4.712389 或  -4.712389 < x < -1.570796 或  -1.570796 < x < 1.570796 或  1.570796 < x < 4.712389 或  4.712389 < x < 7.853982 或  7.853982 < x < 10.995574 或  10.995574 < x < 14.137167 或  x > 14.137167

    From inequalities (1) and (2)
         x < -14.326691 或  -13.944991 < x < -10.995574 或  -10.995574 < x < -8.10864 或  x < -14.137167 或  -7.59033 < x < -4.712389 或  -4.712389 < x < -2.10314 或  0 < x < 1.570796 或  1.570796 < x < 2.10314 或  7.59033 < x < 7.853982 或  7.853982 < x < 8.10864 或  13.944991 < x < 14.137167 或  x > 14.137167    (3)

    The final solution set is :

         x < -14.326691 或  -13.944991 < x < -10.995574 或  -10.995574 < x < -8.10864 或  x < -14.137167 或  -7.59033 < x < -4.712389 或  -4.712389 < x < -2.10314 或  0 < x < 1.570796 或  1.570796 < x < 2.10314 或  7.59033 < x < 7.853982 或  7.853982 < x < 8.10864 或  13.944991 < x < 14.137167 或  x > 14.137167

    *Note: Radian.



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