Evaluate: cos^{-1}sqrt{1-x} + sin^{-1}sqrt{1- | vedclass

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(B) We know the identity $\sin^{-1}(	heta) + \cos^{-1}(	heta) = \frac{\pi}{2}$ for $	heta \in [-1, 1]$.In the given expression,let $	heta = \sqrt{

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$\frac{\pi}{2}$

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(B) We know the identity $\sin^{-1}(	heta) + \cos^{-1}(	heta) = \frac{\pi}{2}$ for $	heta \in [-1, 1]$.In the given expression,let $	heta = \sqrt{1-x}$.For the expression to be defined,we must have $0 \le 1-x \le 1$,which implies $0 \le x \le 1$.Thus,$\cos^{-1}\sqrt{1-x} + \sin^{-1}\sqrt{1-x} = \frac{\pi}{2}$.

Evaluate: $\cos^{-1}\sqrt{1-x} + \sin^{-1}\sqrt{1-x}$

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