Chapter 13.2, Problem 16OE

To determine

To find: The value of the function if the function.

Answer to Problem 16OE

The value of $\tan \frac{3\pi }{2}$ is undefined.

Explanation of Solution

Given information:

The given term is $\tan \frac{3\pi }{2}$ .

Calculation:

  $\pi$ in degree form .

  $\pi ={180}^{\circ }$

  $\tan \frac{{3.180}^{\circ }}{2}=\tan {270}^{\circ }$

As $\tan \frac{3\pi }{2}$ lies in third quadrant, and in the third quadrant $\tan {270}^{\circ }$ value is undefined.

When the value of trigonometric functional is undefined it means that the ratio for that given function involved division by zero.

Therefore, the value of $\tan \frac{3\pi }{2}$ is undefined.