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^∘

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