If is a point on the unit circle, and if the ray from the origin to makes an angle from the positive x - axis, (where counterclockwise turning is positive), then and .

The unit circle also demonstrates that sine and cosine are periodic functions, with the identities and , where is any integer.

Let the point is .

and

and

Thus, .

The unit circle also demonstrates that sine and cosine are periodic functions, with the identities and , where is any integer.

So, , where is any integer.

if , .

if , .

if , .

if , .

if , .

Therefore, the two negative and three positive angles are , , , , and .

Two negative and three positive angles are , , , , and .