Find the Reference Angle -315 degrees

Problem

−315

Solution

1. Find a coterminal angle between 0 and 360 by adding 360 to the given negative angle.

−315+360=45

2. Identify the quadrant where the terminal side of the angle lies. Since 45 is between 0 and 90 the angle is in Quadrant I.

0<45<90

3. Determine the reference angle based on the quadrant. For an angle θ in Quadrant I, the reference angle θ′ is equal to the angle itself.

θ′=45

Final Answer

Reference Angle of −315=45

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