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.