Find the Reference Angle -975

$- 975$

Step 1

Find an angle that is positive, less than $360 °$ , and coterminal with $- 975 °$ .

Add $360 °$ to $- 975 °$ .

$- 975 ° + 360 °$

The resulting angle of $- 615 °$ is coterminal with $- 975 °$ but isn\'t positive. Repeat the step.

$- 615 °$

Add $360 °$ to $- 615 °$ .

$- 615 ° + 360 °$

The resulting angle of $- 255 °$ is coterminal with $- 975 °$ but isn\'t positive. Repeat the step.

$- 255 °$

Add $360 °$ to $- 255 °$ .

$- 255 ° + 360 °$

The resulting angle of $105 °$ is positive and coterminal with $- 975 °$ .

$105 °$

Step 2

Since the angle $105 °$ is in the second quadrant, subtract $105 °$ from $180 °$ .

$180 ° - 105 °$

Step 3

Subtract $105$ from $180$ .

$75 °$