Find the Reference Angle (7pi)/9

Problem

(7*π)/9

Solution

1. Identify the quadrant in which the angle θ=(7*π)/9 lies. Since π/2<(7*π)/9<π the angle is in the second quadrant.

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

3. Substitute the given value into the formula:

θ′=π−(7*π)/9

4. Simplify the expression by finding a common denominator:

θ′=(9*π)/9−(7*π)/9

θ′=(2*π)/9

Final Answer

θ′=(2*π)/9

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