Question

(a) Find an angle between 0° and 360° that is coterminal with 1170°.(b) Find an angle between 0 and 2pi that I'd coterminal with -5pi.Give exact values for your answers.(a) __°(b) __ radians

Answer 1

We have the following:

(a)

To calculate we must subtract 360 ° until there is a value between 0 and 360 °

$\begin{gathered} 1170-360=816 \\ 810-360=450 \\ 450-360=90 \\ \end{gathered}$

The answer is 90°

(b)

To calculate we must subtract 2pi rad until there is a value between 0 and 2pi rad

$\begin{gathered} -5\pi+2\pi=3\pi \\ 3\pi-2\pi=\pi \end{gathered}$

The answer is pi radians