Question #07942

1 Answer
Jan 31, 2018

#5/4pi#

Explanation:

Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side like 110° and -250°.

Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n=0,1,2,3, ... (for degrees)

Read more: http://www.mathwarehouse.com/coterminal-angle/how-to-calculate-coterminal-angles.php#ixzz55iLHLZAi

For radians the angle B is co-terminal if it measures #M "+/-" (2pi)n#, where n=0,1,2,3, ...

#-3/4 pi + 2pi = 5/4pi#