Find the Reference Angle (11pi)/6

Problem

(11*π)/6

Solution

1. Identify the quadrant of the given angle θ=(11*π)/6 Since (3*π)/2<(11*π)/6<2*π the angle is located in Quadrant IV.

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

3. Substitute the value of the angle into the formula.

θ′=2*π−(11*π)/6

4. Simplify the expression by finding a common denominator.

θ′=(12*π)/6−(11*π)/6

θ′=π/6

Final Answer

θ′=π/6

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