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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 arccos(v)-v*sqrt(1-v^2) >0.2*π .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         arccos ( v ) - v * sqrt ( 1 - v ^ 2 ) >0.2 * π         (1)
        From the definition field of arccos
         x ≥ -1        (2 )
         x ≤ 1        (3 )
        From the definition field of √
         1 - x ^ 2 ≥ 0        (4 )

    From inequality(1):
         -1 < v < 0.491862
    From inequality(2):
         v ≥ -1
    From inequality(3):
         v ≤ 1
    From inequality(4):
         -1 ≤ v ≤ 1

    From inequalities (1) and (2)
         -1 < v < 0.491862     (5)
    From inequalities (3) and (5)
         -1 < v < 0.491862     (6)
    From inequalities (4) and (6)
         -1 < v < 0.491862     (7)

    The final solution set is :

         -1 < v < 0.491862




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