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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 x+arcsin(cos(x)/1.516) >41 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x + arcsin ( cos ( x ) / 1.516 ) >41         (1)
        From the definition field of arcsin
         cos ( x ) / 1.516 ≥ -1        (2 )
         cos ( x ) / 1.516 ≤ 1        (3 )

    From inequality(1):
         x > 41.532729
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         x > 41.532729    (4)
    From inequalities (3) and (4)
         x > 41.532729    (5)

    The final solution set is :

         x > 41.532729

    *Note: Radian.



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