How do you verify $((1+sinx)/(cosx))=((cosx)/(1-sinx))$ ?

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Answer 1 · 2015-11-11T03:24:04

Verify: $(1 + cos x)/(cos x) = (cos x/(1 - sin x))$

Verify by cross multiplication
$(1 + sin x)( 1- sin x) = cos^2 x$
$(1 - sin^2 x) = cos^2 x$
$cos^2 x = cos ^2 x$

How do you verify ((1+sinx)/(cosx))=((cosx)/(1-sinx))((1+sinx)/(cosx))=((cosx)/(1-sinx))?