Find the Reference Angle (3pi)/8

Problem

(3*π)/8

Solution

1. Identify the quadrant in which the given angle θ=(3*π)/8 lies.

2. Compare the angle to the standard quadrant boundaries in radians.

3. Determine that since 0<(3*π)/8<π/2 the angle is located in the first quadrant.

4. 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

Final Answer

θ′=(3*π)/8

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