Ifasin−1x−b cos−1x=c then the value of asin−1x+bcos−1x=

Given asin−1x−bcos−1x=c  →1We know that    asin−1x+acos−1x=aπ2  →2Also bsin-1x+bcos-1x=bπ2 →3Now equatioins 2-1⇒ Cos−1x=aπ2−ca+band equations 3+1⇒sin-1x=bπ2+ca+b∴  asin−1x+b cos−1x=πab+ca−ba+b