Chapter 12.2, Problem 3AGP

To determine

To find: Positive and negative measure that are coterminal with given angle.

Answer to Problem 3AGP

Positive and negative measures are $375$ and $-{345}^0$ respectively.

Explanation of Solution

Given information:

  $\theta ={15}^0$

Concept:

To find a positive and a negative angle coterminal with a given angle, you can add and subtract with ${360}^0$ if the angle is measured in degrees or with $2\pi$ if the angle is measured in radians.

Given

  $\theta ={15}^0$

Positive angle $={15}^0+{360}^0={375}^0$

Negative angle $={15}^0-{360}^0=-{345}^0$

Therefore,

Positive and negative measures are $375$ and $-{345}^0$ respectively.