Thread: Measure of angle between 0 and 2pi

Hey, I don't even know where to begin to solve this problem.

If sinx= -1/2 and cosx=radical3/2, find a possible measure for angle X between 0 and 2pi.

Would this problem have anything to do with a 30/60/90 triangle?

Thanks for any and all help

Originally Posted by Moncon14

If sinx= -1/2 and cosx=radical3/2, find a possible measure for angle X between 0 and 2pi.
Would this problem have anything to do with a 30/60/90 triangle?

It has to do with this triangle.

So after solving with the triangle, x would equal 30o right? So then is that the final answer, or would you subtract it from 360 making it 330o? I think I need one more clue on how to solve it. Sorry if this is an easy question, I've been really sick for the past few days and am not my usual self.

Originally Posted by Moncon14

or would you subtract it from 360 making it 330o?

Yes that is correct as sin is negative and cos is positive only in the 4th quadrant.

Thanks a lot guys! Much appreciated!