Find the Reference Angle (5pi)/6

Problem

(5*π)/6

Solution

1. Identify the quadrant in which the angle θ=(5*π)/6 lies. Since π/2<(5*π)/6<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 θ into the formula.

θ′=π−(5*π)/6

4. Simplify the expression by finding a common denominator.

θ′=(6*π)/6−(5*π)/6

θ′=π/6

Final Answer

θ′=π/6

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