SOLUTION: Help with verifying a trigonometric identity please? secx-cosx+cscx-sinx-(sinxtanx)=(cosxcotx)

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Question 591304: Help with verifying a trigonometric identity please?
secx-cosx+cscx-sinx-(sinxtanx)=(cosxcotx)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




Use





and



to convert everything in the LHS to sine and cosine functions:




Combine the first and second and third and fourth terms using and as common denominators:



Apply the Pythagorean Identity:



Note the two additive inverse terms in the LHS and eliminate.



Decompose the fraction in the LHS:



Finally, use



To write:



Q.E.D.

John

My calculator said it, I believe it, that settles it
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