Chapter 12.1, Problem 22OE

To determine

Give two angles , one positive and one negative , that are coterminal with the given angle.

  $40°$

Answer to Problem 22OE

  $400°\text{ and }-320°$

Explanation of Solution

Given:

The angle is :

  $40°$

Formula Used:

Two angles in standard position are coterminal if their terminal sides coincide.

So, the measures of all angles coterminal with $\theta$ are:

  $\theta +n\cdot 360°$

where n is an integer.

Calculation:

The positive angle coterminal with $40°$ is $40°+360°=400°$

The negative angle coterminal with $40°$ is $40°-360°=-320°$