Question

(b) Find an angle between 0 and 2pi that is coterminal with 27pi/10

Answer 1

Coterminal Angles are angles who share the same initial side and terminal sides.

To find coterminal angles, we either subtract or add 360 degrees (or 2π) to/from the angle given.

The angle given is in radians,

$\frac{27\pi}{10}$

This angle is greater than 2π, so we subtract 2π from it to get its co-terminal angle that is between 0 and 2π.

So,

$\begin{gathered} \frac{27\pi}{10}-2\pi \\ =\frac{27\pi}{10}-\frac{20\pi}{10} \\ =\frac{7\pi}{10} \end{gathered}$Answer$\frac{7\pi}{10}$