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,

`(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} (27\pi)/(10)-2\pi \\ =(27\pi)/(10)-(20\pi)/(10) \\ =(7\pi)/(10) \end{gathered}`Answer
`(7\pi)/(10)`