SOLUTION: How do I prove: (1/secx+tanx)=(1-sinx/cosx) thank you!

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Question 871486: How do I prove:
(1/secx+tanx)=(1-sinx/cosx)
thank you!
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
(1/secx+tanx)=(1-sinx/cosx)

%281%2A%28secx-tanx%29%29%2F%28%28secx%2Btanx%29%28secx+-tanx%29%29

%281%2A%28secx-tanx%29%29%2F%28sec%5E2%28x%29+-tan%5E2%28x%29%29

(sec^2(x) -tan^2(x))=1
we get
(secx - tanx)
%281%2Fcosx%29-%28sinx%2Fcosx%29

%281-sinx%29%2Fcosx