Question
Find the exact value of the expression whenever it is defined.(a) $\cot \left[\sin ^{-1}\left(-\frac{2}{5}\right)\right]$(b) $\sec \left(\tan ^{-1} \frac{7}{4}\right)$(c) $\csc \left(\cos ^{-1} \frac{1}{5}\right)$
Step 1
We can use the property that if there is a negative inside the $\sin^{-1}$, then this negative goes outside. So we have $-\cot \left[\sin ^{-1}\left(\frac{2}{5}\right)\right]$. Show more…
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Find the exact value of the expression whenever it is defined. (a) $\sin \left[\frac{1}{2} \sin ^{-1}\left(-\frac{7}{25}\right)\right]$ (b) $\cos \left(\frac{1}{2} \tan ^{-1} \frac{8}{15}\right)$ (c) $\tan \left(\frac{1}{2} \cos ^{-1} \frac{3}{5}\right)$
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