Find the Reference Angle 30 degrees

Problem

30^∘

Solution

1. Identify the quadrant in which the given angle θ=30^∘ lies.

2. Determine that since 0^∘<30^∘<90^∘ the angle is located 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. Conclude that the reference angle for 30^∘ is 30^∘

Final Answer

θ^′=30^∘

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