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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