Find the Reference Angle (4pi)/3

Problem

(4*π)/3

Solution

1. Identify the quadrant in which the angle θ=(4*π)/3 lies. Since π<(4*π)/3<(3*π)/2 the angle is 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′=(4*π)/3−π

4. Simplify the expression by finding a common denominator:

θ′=(4*π)/3−(3*π)/3

θ′=π/3

Final Answer

θ′=π/3

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