Chapter 12, Problem 19SGR

To determine

To find: An angle with positive measure and an angle with a negative measure that are coterminal with each angle.

Answer to Problem 19SGR

Positive angle $={295}^0$

Negative angle $=-{425}^0$

Explanation of Solution

Given information:

  $-{65}^0$

To find a positive and a negative coterminal with a given angle,

We can add and subtract ${360}^0$ if the angle measured in degrees or $2\pi$ if the angle is measured in radians.

Given angle is

  $-{65}^0$

Positive angle $=-{65}^0+{360}^0$

  $\Rightarrow$ Positive angle $={295}^0$

Negative angle $=-{65}^0-{360}^0$

  $\Rightarrow$ Negative angle $=-{425}^0$

Therefore,

Positive angle $={295}^0$

Negative angle $=-{425}^0$