Chapter 13.1, Problem 5P

To determine

To Find: The measure of the angle between $0$ and $2\pi$ that is coterminal with $\alpha$ .

Answer to Problem 5P

The angle that is coterminal with the given angle is $5.13$ .

Explanation of Solution

Given information:

Given measure is $\alpha =-20$ .

Calculation:

For cotriminal angles, we add or subtract the multiples of $2\pi$ .

An angle coterminal with the given angle is,

  $\begin{array}{c}-20+8\pi \approx -20+25.13\\ =5.13\end{array}$

Therefore, an angle that is coterminal with the given angle is $5.13$ .