sin^(-1)⁡(sin⁡〖-135°〗 ) solve for theta.

Question

anonymous · Answer

The answer is an angle measure.  But I am confused how to get it.  It's 135 or -135 I believe but I need to know how to simplify it.

anonymous · Answer

I'm getting -pi/4, not 135. Maybe I am misunderstanding the question.

anonymous · Answer

I think that is the problem that I am having.  I believe that the answer is supposed to be an angle measure.

anonymous · Answer

the instructions say "evaluate the following. answers must be in exact values"

anonymous · Answer

-45 in degrees, again, not 135.

anonymous · Answer

I just want to see how you derived that.  I know that it is a 45 degree reference angle and that the -45 degrees is the same as -135 but I need to show it.  That is where I am confused.

anonymous · Answer

pi/4 = 45 degrees

anonymous · Answer

ahh, 1 min..

anonymous · Answer

$$\sin^{-1} (\cos(135\deg+\frac{ \pi }{ 2}))$$