Question

Find an angle between 0 and 2π that is coterminal with 10pi/3

Answer 1

In this question we have to find an angle between 0 and 2π that is coterminal with 10pi/3 .

To find the coterminal angle, we need to subtract 2 pi from 10 pi/3. That is

$= \frac{10 \pi }{3} - 2 \pi$

Multiplying numerator and denominator of 2 pi by 3

$= \frac{10 \pi}{3} -\frac{6 \pi}{3} = \frac{4 \pi}{3}$

And that's the required coterminal angle between 0 and 2pi.