Question

find the angle between 0 and 2π in radians that is coterminal with the angle (\frac{11}{4}pi). enter your answer as a reduced fraction involving π.

Explanation:

Step1: Subtract \(2\pi\) from \(\frac{11}{4}\pi\)

\(\frac{11}{4}\pi - 2\pi=\frac{11}{4}\pi-\frac{8}{4}\pi\)

Step2: Calculate the result

\(\frac{11}{4}\pi-\frac{8}{4}\pi=\frac{11 - 8}{4}\pi=\frac{3}{4}\pi\)

Answer:

\(\frac{3}{4}\pi\)