Question

find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle -15pi/17

Answer 1

ANSWER
$=\frac{19}{17} \pi$

EXPLANATION

To find a positive angle that is coterminal with
$- \frac{15}{17} \pi$

We add multiples of 2π until we get a positive angle that is less than one revolution,


We add to obtain,


$- \frac{15}{17} \pi + 2\pi$


This simplifies to,

$= \frac{19}{17} \pi$

This is the first positive angle that is coterminal with
$- \frac{15}{17} \pi$


and is less than one revolution.