Chapter 5.8, Problem 82E

Exercises 82-84 will help you prepare for the material covered in the first section of the next chapter. The exercises use identities, introduced in Section 5.2, that enable you to rewrite trigonometric expressions so that they contain only sines and cosines:

$\csc x=\frac{1}{\sin x}$

$\sec x=\frac{1}{\cos x}$

$\tan x=\frac{\sin x}{\cos x}$

$\cot x=\frac{\cos x}{\sin x}$

In Exercises 82-84, rewrite each expression by changing to sines and cosines Then simplify the resulting expression.

$\sec x\cot x$