Find the Reference Angle (3pi)/7

Problem

(3*π)/7

Solution

1. Identify the quadrant in which the given angle θ=(3*π)/7 lies.

2. Compare the angle to the quadrantal angles 0 and π/2

3. Determine that since 0<(3*π)/7<π/2 the angle is located in the first quadrant.

4. Apply the rule for reference angles in the first quadrant, where the reference angle θ′ is equal to the angle itself: θ′=θ

Final Answer

θ′=(3*π)/7

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