If , then is equal…

MATHEMATICS · Single correct · CBSE · Mathematics · Inverse Trigonometric Functions · Inverse Trigonometric Functions

Problem

If asin⁡−1x−bcos⁡−1x=ca\sin^{-1}x-b\cos^{-1}x=c, then asin⁡−1x+bcos⁡−1xa\sin^{-1}x+b\cos^{-1}x is equal to: (a) 0 (b) πab+c(b−a)a+b\frac{\pi ab+c(b-a)}{a+b} (c) π2\frac{\pi}{2} (d) πab+c(a−b)a+b\frac{\pi ab+c(a-b)}{a+b}

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