cos left[cos ^{-1}left(-frac{1}{7}right)+sin | vedclass

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(B) We know that for any $x \in [-1, 1]$,the identity $\cos ^{-1} x + \sin ^{-1} x = \frac{\pi}{2}$ holds true.Given the expression $\cos \left[\cos ^

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$0$

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(B) We know that for any $x \in [-1, 1]$,the identity $\cos ^{-1} x + \sin ^{-1} x = \frac{\pi}{2}$ holds true.Given the expression $\cos \left[\cos ^{-1}\left(-\frac{1}{7}\right)+\sin ^{-1}\left(-\frac{1}{7}\right)\right]$,we substitute $x = -\frac{1}{7}$.This simplifies to $\cos \left( \frac{\pi}{2} \right)$.Since $\cos \left( \frac{\pi}{2} \right) = 0$,the value of the expression is $0$.

$\cos \left[\cos ^{-1}\left(-\frac{1}{7}\right)+\sin ^{-1}\left(-\frac{1}{7}\right)\right]$ is equal to

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