Find the Reference Angle (2pi)/3

Problem

(2*π)/3

Solution

1. Identify the quadrant in which the angle θ=(2*π)/3 lies. Since π/2<(2*π)/3<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 given value into the formula: θ′=π−(2*π)/3

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

Final Answer

θ′=π/3

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