Find the Reference Angle 447

Problem

447

Solution

1. Subtract multiples of 360 to find the coterminal angle within the range [0,360)

447−360=87

2. Identify the quadrant where the angle 87 terminates. Since 0<87<90 the angle is in Quadrant I.

3. Apply the reference angle rule for Quadrant I. For an angle θ in Quadrant I, the reference angle θ′ is equal to the angle itself.

θ′=θ

4. Calculate the final value.

θ′=87

Final Answer

Reference Angle of *447=87

Want more problems? Check here!