Find the Reference Angle (4pi)/5

Problem

(4*π)/5

Solution

1. Identify the quadrant of the given angle θ=(4*π)/5 Since π/2<(4*π)/5<π the angle lies 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 θ into the formula: θ′=π−(4*π)/5

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

Final Answer

θ′=π/5

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