Find the Reference Angle (6pi)/5

Problem

(6*π)/5

Solution

1. Identify the quadrant of the given angle θ=(6*π)/5

2. Compare the angle to the standard quadrantal angles in radians.

3. Determine that since π<(6*π)/5<(3*π)/2 the angle lies in Quadrant III.

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

5. Subtract π from the given angle: (6*π)/5−π

6. Simplify the expression by finding a common denominator: (6*π)/5−(5*π)/5=π/5

Final Answer

θ′=π/5

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