SOLUTION: Please show me the method to prove identity here {{{ (1-secx)/(1+secx) = (cosx-1)/(cosx+1) }}}

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Question 573724: Please show me the method to prove identity here
++%281-secx%29%2F%281%2Bsecx%29+=+%28cosx-1%29%2F%28cosx%2B1%29++
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Cross-multiply





Note that sec x cos x = 1. Replacing this, we have





This is true for all x (such that sec x is defined) so the original equation is also true.