91Ó°ÊÓ

In Exercises 97-100, find the inverse function of \(f\). Verify that \(f\left(f^{-1}(x)\right)=x\) and \(f^{-1}(f(x))=x\). $$ f(x)=\sqrt{x-16} $$

In Exercises 99-102, fill in the blanks. (Note: The notation \(x \rightarrow c^{+}\)indicates that \(x\) approaches \(c\) from the right and \(x \rightarrow c\) indicates that \(x\) approaches \(c\) from the left.) As \(x \rightarrow \frac{\pi^{-}}{2}, \tan x \rightarrow \quad\) and \(\cot x \rightarrow\)

In Exercises 99-102, fill in the blanks. (Note: The notation \(x \rightarrow c^{+}\)indicates that \(x\) approaches \(c\) from the right and \(x \rightarrow c\) indicates that \(x\) approaches \(c\) from the left.) As \(x \rightarrow \pi^{+}, \sin x \rightarrow\) and \(\csc x \rightarrow\)

In Exercises 95-110, verify the identity. $$ \frac{\cos 3 \beta}{\cos \beta}=1-4 \sin ^{2} \beta $$

In Exercises 95-110, verify the identity. $$ \sec \frac{u}{2}=\pm \sqrt{\frac{2 \tan u}{\tan u+\sin u}} $$

In Exercises 103-108, determine whether or not the equation is an identity, and give a reason for your answer. $$ \cos \theta=\sqrt{1-\sin ^{2} \theta} $$

In Exercises 95-110, verify the identity. $$ \tan \frac{u}{2}=\csc u-\cot u $$

In Exercises 103-108, determine whether or not the equation is an identity, and give a reason for your answer. $$ \cot \theta=\sqrt{\csc ^{2} \theta+1} $$

In Exercises 103-108, determine whether or not the equation is an identity, and give a reason for your answer. $$ \frac{1}{(5 \cos \theta)}=5 \sec \theta $$

In Exercises 95-110, verify the identity. $$ \frac{\sin x \pm \sin y}{\cos x+\cos y}=\tan \frac{x \pm y}{2} $$