SOLUTION: Prove this identity: sin theta- cos theta/sec theta- csc theta= cos theta/ csc theta Thanks in advance

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Question 943913: Prove this identity:
sin theta- cos theta/sec theta- csc theta= cos theta/ csc theta
Thanks in advance

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Prove this identity:
sin theta- cos theta/sec theta- csc theta= cos theta/ csc theta
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Prove this identity:
(sin - cos)/(sec - csc) = cos/csc
csc*(sin - cos) = cos*(sec - csc)
1 - cos/sin = 1 - cos/sin
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The requirement to work on one side only is sometimes mentioned.
I've never seen an example where that makes any difference.