Question
Find the values of:$$\cos ^{-1}(\sin (-5))+\sin ^{-1}(\cos (-5))$$
Step 1
We know that $\cos ^{-1}(x)$ is equal to $\pi - \sin ^{-1}(x)$ and $\sin ^{-1}(x)$ is equal to $\pi/2 - \cos ^{-1}(x)$. So we can rewrite the expression as: $$ \pi - \sin ^{-1}(\sin (-5)) + \pi/2 - \cos ^{-1}(\cos (-5)) $$ Show more…
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