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## Homework Statement

csc(pi/2-x)/cos(x+pi/2) + cot(pi/2-x)

## The Attempt at a Solution

1/cosx/-sinx + sinx/cosx

-1/sinxcosx+ sinx/cosx(sinx/sinx)

(sin

^{2}x - 1) / sinxcosx

-cos

^{2}x/sinxcosx

-cosx/sinx

-cotx

is this right the answer key says it is cosx but that could be wrong I have done this a couple times and gotten the same answer