Question

Name the reference angle in radians for an angle of -315 degree

Answer 1

The angle of -315 degree means angle of 315 degree in clockwise direction from the positive x-axis.

The angle -315 degree means that angle lies in first quadrant as,

So measure of reference angle is,

`360-315=45`

Reference angle in radians is,

`45\cdot(\pi)/(180)=(\pi)/(4)`

So reference angle of -315 degree in radians is,

`(\pi)/(4)\text{ radians}`