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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 cosx/(sinx)^(1/2)+2(sinx)^(3/2)/cosx >= 2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         cos x / ( sin x ) ^ ( 1 / 2 ) + 2 * ( sin x ) ^ ( 3 / 2 ) / cos x >= 2         (1)
        From the definition field of divisor
         sin x ≠ 0        (2 )

    From inequality(1):
         x ≤ -10.995574 或  -5856107/1000000 ≤ x ≤ -5856107/1000000 或  -5856107/1000000 ≤ x ≤ -4.712389 或  213539/500000 ≤ x ≤ 213539/500000 或  213539/500000 ≤ x ≤ 1.570796
    From inequality(2):
         x < -15.707963 或  -15.707963 < x < -12.566371 或  -12.566371 < x < -9.424778 或  -9.424778 < x < -6.283185 或  -6.283185 < x < -3.141593 或  -3.141593 < x < 0 或  0 < x < 3.141593 或  3.141593 < x < 6.283185 或  6.283185 < x < 9.424778 或  9.424778 < x < 12.566371 或  x > 12.566371

    From inequalities (1) and (2)
         x < -15.707963 或  -15.707963 < x < -12.566371 或  -12.566371 < x ≤ -10.995574 或  -5856107/1000000 ≤ x ≤ -5856107/1000000 或  -5856107/1000000 ≤ x ≤ -4.712389 或  213539/500000 ≤ x ≤ 213539/500000 或  213539/500000 ≤ x ≤ 1.570796    (3)

    The final solution set is :

         x < -15.707963 或  -15.707963 < x < -12.566371 或  -12.566371 < x ≤ -10.995574 或  -5856107/1000000 ≤ x ≤ -5856107/1000000 或  -5856107/1000000 ≤ x ≤ -4.712389 或  213539/500000 ≤ x ≤ 213539/500000 或  213539/500000 ≤ x ≤ 1.570796

    *Note: Radian.



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