Find the Reference Angle (11pi)/12

Problem

(11*π)/12

Solution

1. Identify the quadrant where the angle θ=(11*π)/12 is located. Since π/2<(11*π)/12<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 angle into the formula: θ′=π−(11*π)/12

4. Simplify the expression by finding a common denominator: θ′=(12*π)/12−(11*π)/12=π/12

Final Answer

θ′=π/12

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