Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the angle between 0 and 2π in radians that is coterminal to the gi…

Question

find the angle between 0 and 2π in radians that is coterminal to the given angle.
\frac{16}{3}\pi
question help: video written example message instructor
submit question

Explanation:

Step1: Subtract \(2\pi\) from \(\frac{16}{3}\pi\)

\(\frac{16}{3}\pi - 2\pi=\frac{16}{3}\pi-\frac{6}{3}\pi=\frac{10}{3}\pi\)

Step2: Subtract \(2\pi\) from \(\frac{10}{3}\pi\)

\(\frac{10}{3}\pi - 2\pi=\frac{10}{3}\pi-\frac{6}{3}\pi=\frac{4}{3}\pi\)

Answer:

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