Question

Find an angle between 0 and 2π that is coterminal with the given angle. Give answer in terms of π.
-2pi/3 . ? in radians

Answer 1

all you have to do is add or subtract 2pi or some other amount of 2pi for each one

in this one, add 2pi to -2pi/3

Answer 2

How do I know if I have add or subtract ? ==

Answer 3

is - 2pi/3 in the interval from 0 to 2pi?
if it's not then, add or subtract 2pi so the angle is between 0 and 2pi

Answer 4

\[-\frac{2\pi}{3} + 2\pi = -\frac{2\pi}{3} + \frac{6\pi}{3}\]

Answer 5

So confuse ! So how do I know when I have to ADD OR SUBTRACT ?