Find the Reference Angle (5pi)/3

Problem

(5*π)/3

Solution

1. Identify the quadrant in which the given angle θ=(5*π)/3 resides. Since (3*π)/2<(5*π)/3<2*π the angle is in the fourth quadrant.

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

3. Substitute the value of the angle into the formula to calculate the difference.

4. Simplify the expression by finding a common denominator.

θ′=(6*π)/3−(5*π)/3

θ′=π/3

Final Answer

θ′=π/3

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