Chapter 13.6, Problem 5OE

To determine

To find: The simplification for given term.

Answer to Problem 5OE

The simplification is $\sin \alpha$ .

Explanation of Solution

Given:

The given term is,

  $\tan \alpha \cos \alpha$

Calculation:

The term is simplified as,

  $\begin{array}{c}\tan \alpha \cos \alpha =\frac{\sin \alpha }{\cos \alpha }\times \cos \alpha \\ =\sin \alpha \end{array}$

Therefore, the simplification is $\sin \alpha$ .