Find the Reference Angle 45 degrees

Problem

45^∘

Solution

1. Identify the quadrant in which the given angle θ=45^∘ lies.

2. Determine that since 0^∘<45^∘<90^∘ the angle is in the first quadrant.

3. Apply the rule for reference angles in the first quadrant, which states that the reference angle θ^′ is equal to the angle itself: θ^′=θ

4. Calculate the reference angle using the formula θ^′=45^∘

Final Answer

θ^′=45^∘

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