Question

Convert each degree measure to radian measure Question in image In need of help on parts 1,2,4,5,6,7,9,&10

Answer 1

To find:

Convert each degree measure to radian measure.

Solution:

It is known that to convert a degree measure to radian measure, we have to multiply the value by pi/180. So, the answers are as follows:

$0^0=0\times\frac{\pi}{180}=0\text{ radians}$$180^0=180\times\frac{\pi}{180}=\pi\text{ radians}$$-540^0=-540\times\frac{\pi}{180}=-3\pi\text{ radians}$$\begin{gathered} 390^0=390\times\frac{\pi}{180}=\frac{13}{6}\pi\text{ radians} \\ 270^0=270\times\frac{\pi}{180}=\frac{3}{2}\pi\text{ radians} \\ 90^0=90\times\frac{\pi}{180}=\frac{\pi}{2}\text{ radians} \\ -60^0=-60\times\frac{\pi}{180}=-\frac{\pi}{3} \\ -540^0=-540\times\frac{\pi}{180}=-3\pi\text{ radians} \\ 600^0=600\times\frac{\pi}{180}=\frac{10}{3}\pi\text{ radians} \\ 300^0=300\times\frac{\pi}{180}=\frac{5}{3}\pi\text{ radians} \end{gathered}$