2*asin(x) %2B asin(-x %2B 1)=pi/2 – InterviewSolution

InterviewSolution

1.

2*asin(x) %2B asin(-x %2B 1)=pi/2

Answer»

Let sin^-1(1-x) = A, So, Sin A = 1-xlet Sin^-1 x = B, So Sin B = x

Given 2*B + A =π/2 π/2 - A=2B Cos (π/2 - A) = Cos (2B) SinA = 1 - 2 Sin² B 1 - x = 1 - 2 x² 2x² - x = 0 x(2x - 1) = 0 x = 0 or x = 1/2

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