Chapter 12.2, Problem 3BGP

To determine

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

Answer to Problem 3BGP

Positive and negative measures are ${315}^0$ and $-{405}^0$ respectively.

Explanation of Solution

Given information:

  $\theta =-{45}^0$

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

  $\theta =-{45}^0$

Positive angle $=-{45}^0+{360}^0={315}^0$

Negative angle $=-{45}^0-{360}^0=-{405}^0$

Therefore,

Positive and negative measures are ${315}^0$ and $-{405}^0$ respectively.