What angles are coterminal with - (6\pi)/(5)

Question

What angles are coterminal with

`- (6\pi)/(5)`

Answer 1

4/5 pi , 14pi/5, etc

-16pi/5, -26pi/5, etc

Explanation:

To find coterminal angles you add or subtract 2pi from the angle

Rewrite 2pi with a common denominator of 5

2pi * 5/5 = 10pi/5

-6/5 *pi + 10pi/5 = 4/5 pi

4/5pi + 10pi/5 = 14pi/5

etc

you can keep adding 2pi

or you can subtract 2pi

-6pi/5 - 10pi/5 = -16pi/5

-16pi/5 - 10pi/5 = -26pi/5

etc

you can keep subtracting 2pi