Find the Reference Angle (3pi)/5

Problem

(3*π)/5

Solution

1. Identify the quadrant in which the given angle θ=(3*π)/5 lies. Since π/2<(3*π)/5<π the angle is in Quadrant II.

2. Apply the formula for the reference angle θ′ in Quadrant II, which is θ′=π−θ

3. Substitute the value of the angle into the formula: θ′=π−(3*π)/5

4. Simplify the expression by finding a common denominator: θ′=(5*π)/5−(3*π)/5=(2*π)/5

Final Answer

θ′=(2*π)/5

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