Question

Find the measure of an angle between 0 degrees and 360 degrees coterminal with each given angle A.375 degreesB:-400 degrees

Answer 1

The angle is given

A. 375 degree.

To find the coterminal angle ,

$375^{\circ}-360^{\circ}=15^{\circ}$

Hence the measure of an angle between 0 degrees and 360 degrees coterminal is 15 degree.

B. -400 degree.

To find the coterminal angle.

$-400^{\circ}+360^{\circ^{}}=-40^{\circ}$

As it is negative , convert to into positive.

$360^{\circ}-40^{\circ}=320^{\circ}$

Hence the coterminal angle is 320 degree.