Simplify (5pi)/3

Problem

(5*π)/3

Solution

1. Identify the angle in radians. The expression (5*π)/3 is an angle in standard position.

2. Determine the quadrant. Since (3*π)/3<(5*π)/3<(6*π)/3 (or π<(5*π)/3<2*π, the angle is in the fourth quadrant.

3. Calculate the reference angle. Subtract the angle from 2*π to find the distance to the positive x-axis.

2*π−(5*π)/3=(6*π)/3−(5*π)/3

(6*π)/3−(5*π)/3=π/3

4. Convert to degrees if necessary for clarity. Multiply by 180/π

(5*π)/3⋅180/π=5⋅60

5⋅60=300

Final Answer

(5*π)/3=300

Want more problems? Check here!