Question

Find an angle between 0 and 2pi that is coterminal with the given angles.
a) 17pi/ 5
b)-7pi/3
c)55pi/2
d)11pi/7

Answer 1

For positive angles, you want to subtract \(2\pi\) until you get a negative angle, and the smallest non negative angle is the answer.

Answer 2

For negative angles you add \(2\pi\) and your first non negative angle is the result.

Answer 3

@wio I did that for 17pi/5 and got a negative answer but i don't know how to write down the answer correctly

Answer 4

@wio oh jk I got it!

Answer 5

\[
\frac{17\pi}{5} - 2\pi = \frac{17\pi}{5} -\frac{10\pi}{5} = \frac{7\pi}{5}
\]

Answer 6

So this angle is less than \(2\pi\) and greater than \(0\).