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 0 <(cosx)^2 <1/2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 < ( cos x ) ^ 2         (1)
         ( cos x ) ^ 2 <1 / 2         (2)

    From inequality(1):
         x < -3926991/500000 或  -3926991/500000 < x < -4712389/1000000 或  -4712389/1000000 < x < -1570797/1000000 或  -1570797/1000000 < x < 1570797/1000000 或  1570797/1000000 < x < 4712389/1000000 或  4712389/1000000 < x < 3926991/500000 或  x > 3926991/500000
    From inequality(2):
         x < -7.068583 或  -5.497787 < x < -3.926991 或  -2.356194 < x < -0.785398 或  0.785398 < x < 2.356194 或  3.926991 < x < 5.497787 或  x > 7.068583

    From inequalities (1) and (2)
         x < -3926991/500000 或  -3926991/500000 < x < -7.068583 或  -5.497787 < x < -4712389/1000000 或  -4712389/1000000 < x < -3.926991 或  -2.356194 < x < -1570797/1000000 或  -1570797/1000000 < x < -0.785398 或  0.785398 < x < 1570797/1000000 或  1570797/1000000 < x < 2.356194 或  3.926991 < x < 4712389/1000000 或  4712389/1000000 < x < 5.497787 或  7.068583 < x < 3926991/500000 或  x > 3926991/500000    (3)

    The final solution set is :

         x < -3926991/500000 或  -3926991/500000 < x < -7.068583 或  -5.497787 < x < -4712389/1000000 或  -4712389/1000000 < x < -3.926991 或  -2.356194 < x < -1570797/1000000 或  -1570797/1000000 < x < -0.785398 或  0.785398 < x < 1570797/1000000 或  1570797/1000000 < x < 2.356194 或  3.926991 < x < 4712389/1000000 或  4712389/1000000 < x < 5.497787 或  7.068583 < x < 3926991/500000 或  x > 3926991/500000

    *Note: Radian.



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