Find the Reference Angle (7pi)/6

Problem

(7*π)/6

Solution

1. Identify the quadrant in which the angle (7*π)/6 lies. Since π<(7*π)/6<(3*π)/2 the angle is in the third quadrant.

2. Apply the formula for the reference angle θ′ in the third quadrant, which is θ′=θ−π

3. Substitute the given angle into the formula: θ′=(7*π)/6−π

4. Simplify the expression by finding a common denominator: (7*π)/6−(6*π)/6=π/6

Final Answer

θ′=π/6

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