Find the Reference Angle (5pi)/8

Problem

(5*π)/8

Solution

1. Identify the quadrant of the given angle θ=(5*π)/8 Since π/2<(5*π)/8<π the angle lies in Quadrant II.

2. Apply the reference angle formula for Quadrant II. The reference angle θ′ is calculated by subtracting the angle from π

3. Calculate the difference using a common denominator.

θ′=π−(5*π)/8

4. Simplify the expression to find the final value.

θ′=(8*π)/8−(5*π)/8

θ′=(3*π)/8

Final Answer

θ′=(3*π)/8

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