Chapter 6.1, Problem 43E

To determine

To calculate; the angle between $0^{\circ }$ and ${360}^{\circ }$ which is co-terminal with the given angle.

Answer to Problem 43E

Solution: ${280}^{\circ }$ is co-terminal with $-{800}^{\circ }$ .

Explanation of Solution

Add ${360}^{\circ }$ from given angle continuously till the result lie between the given interval.

  $\begin{array}{l}-{800}^{\circ }+{360}^{\circ }=-{440}^{\circ }\\ -{440}^{\circ }+{360}^{\circ }=-{80}^{\circ }\\ -{80}^{\circ }+{360}^{\circ }={280}^{\circ }\end{array}$

Hence, ${280}^{\circ }$ is co-terminal with $-{800}^{\circ }$ .