Mathematics

Mathematics

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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