Question

Find an angle between 0° and 360° that is coterminal with 474° . (b) find an angle between 0 and 2π that is coterminal with −5π2 .

Answer 1

In order to find a coterminal angel, add or substract 360°.
So, 
$474-360=114$
Coterminal angle to -5$\frac{-5\pi}{2}+4\pi= \frac{-5\pi+8\pi}{2}= \frac{3\pi}{2}$pi/2: