Question

What smaller angle is coterminal with 573°

Answer 1

The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°

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

In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.

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, ...

So,

When angle is 573° then the coterminal angle is

573° - 360 (1) = 213°

573° - 360(2) = -147°

573° - 360 (3) = -507°

Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°