Chapter 6, Problem 15SGA

To determine

To change: Radian measure $-\frac{7\pi }{4}$ to degree measure. Round to the nearest tenth, if necessary

Answer to Problem 15SGA

  $-\frac{7\pi }{4}={315}^{\circ }$

Explanation of Solution

Given information: $-\frac{7\pi }{4}$

Calculation:

To change from radians to degrees multiply the given angle by $\frac{{180}^{\circ }}{\pi }$ .

  $-\frac{7\pi }{4}\times \frac{{180}^{\circ }}{\pi }={315}^{\circ }$

Thus,

  $-\frac{7\pi }{4}={315}^{\circ }$