Find the Reference Angle (2pi)/5

Problem

(2*π)/5

Solution

1. Identify the quadrant in which the given angle θ=(2*π)/5 lies.

2. Compare the angle to the quadrant boundaries in radians. Since 0<(2*π)/5<π/2 (because 0<0.4*π<0.5*π, the angle is in the first quadrant.

3. Apply the rule for reference angles in the first quadrant. For any angle θ in Quadrant I, the reference angle θ′ is equal to the angle itself.

4. State the reference angle based on the rule θ′=θ

Final Answer

θ′=(2*π)/5

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