Find the Reference Angle 315 degrees

Problem

315

Solution

1. Identify the quadrant in which the given angle θ=315 lies. Since 270<315<360 the angle is in Quadrant IV.

2. Apply the formula for the reference angle θ′ in Quadrant IV, which is θ′=360−θ

3. Substitute the value of the angle into the formula: θ′=360−315

4. Subtract the values to find the reference angle.

Final Answer

θ′=45

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