Chapter 9.3, Problem 22E

To determine

To find:The sketch of the given angle and the reference angle.

Answer to Problem 22E

The sketch of the given angle is shown in the figure 1 and the reference angle is $-\frac{\pi }{6}$ .

Explanation of Solution

Given:

The given angle is $-\frac{13\pi }{6}$ .

Calculation:

The sketch of the angle is,

  

Figure 1

Calculate the reference angle.

  $\begin{array}{c}-\frac{13\pi }{6}=-\frac{13\pi }{6}+2\pi \\ =-\frac{\pi }{6}\end{array}$

Thus, the sketch of the given angle is shown in the figure 1 and the reference angle is $-\frac{\pi }{6}$ .