Find the Reference Angle (10pi)/9

Problem

(10*π)/9

Solution

1. Identify the quadrant of the given angle θ=(10*π)/9 Since π<(10*π)/9<(3*π)/2 the angle lies in Quadrant III.

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

3. Substitute the value of θ into the formula: θ′=(10*π)/9−π

4. Simplify the expression by finding a common denominator: θ′=(10*π)/9−(9*π)/9=π/9

Final Answer

θ′=π/9

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