Chapter 14.2, Problem 42PPS

To determine

To find :Expression to either a constant or a basic trigonometric function.

Answer to Problem 42PPS

  $\tan \theta$

Explanation of Solution

Given information :

We know that, $\frac{1+\tan \theta }{1+\cot \theta }$

Calculation :

  $\begin{array}{l}\frac{1+\tan \theta }{1+\cot \theta }\left(\frac{1}{\cot \theta }=\tan \theta \right)\\ =\frac{1+\tan \theta }{\cot \theta (1+\tan \theta )}\\ =\frac{1}{\cot \theta }\\ =\tan \theta \end{array}$