Question

for each given real number s, find real number t in the interval [0, 2π) so that the point on the unit circle p(t) = p(s)

15π/7
-9π
4π
-21π/2

I got the answers but i want to know how to solve these problem, please help :(

Answer 1

if this is chapter 4 or 5 and I remember right don't you just add the 2pi and continue around the circle?

Answer 2

If you have a negative point on the unit circle, add 2pi until you get a positive number.
Then, for positive values, take out multiples of 2pi
For example: \[ \frac{ 15\pi }{ 7} =2\frac{ \pi }{7 } \rightarrow \frac{ \pi }{7}\]