Chapter 4.4, Problem 5QR

Solution

To Convert: The given degree measure $-{150}^0$ to radians.

  $-150°=-\frac{5\pi }{6}\text{ radians}$

Given information:

The degree measure of an angle $-{150}^0$

Concept and Formula Used:

To convert the degree measure to radian, multiply the value by $\frac{\pi }{180}$

Calculation:

The given value is $-{150}^0$

Multiply by $\frac{\pi }{180}$ and simplify

  $\begin{array}{l}-150°=-150\times \frac{\pi }{180}\\ -150°=-\frac{5\pi }{6}\text{ radians}\end{array}$

Conclusion:

  $-150°=-\frac{5\pi }{6}\text{ radians}$