With what angle between 0 and 2pi is 51pi6 coterminal with H

With what angle between 0 and 2pi is -51pi/6 coterminal with? How do I solve this?

Solution

Coterminal Angles: Angles that share the same terminal side (basically angles that would overlap exactly if you were to draw them). For instance, 0 degrees and 360 degrees are coterminal because they lie in the same place .

(-51pi/6) +2pi = (-39pi/6)

(-39pi/6) +2pi = (-9pi/6)

(-9pi/6)+2pi = (-5pi/6)

(-5pi/6)+2pi= (-pi/2) that is (3pi/2) in radians

And 270 degrees.