Chapter 12.1, Problem 19OE

To determine

To determine two angles, one positive and one negative, that are conterminal with the given angle.

Answer to Problem 19OE

  ${410}^{\circ },-{310}^{\circ }$

Explanation of Solution

Given information :

  ${50}^{\circ }$

When we add $n{360}^{\circ }$ to an angle, where $n$ is a positive integer, then the angle holds the same position on the graph.

Hence positive conterminal of the angle is ${360}^{\circ }+{50}^{\circ }={410}^{\circ }$

Negative angle is given when the angle starts moving in clockwise direction.

Therefore in order to hold the same position in negative angle, then ${360}^{\circ }$ should be subtracted from the given number.

Hence negative conterminal is $50-{360}^{\circ }=-{310}^{\circ }$