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How do I verify this trig identity?

Calculus
Tutor: None Selected Time limit: 1 Day

(1-secx)/(1-cosx)=-secx

Please explain each step.

Jul 25th, 2014

(1-secx)/(1-cosx)=-secx
(1-(1/cosx))/(1-cosx)=1/cosx
((cosx-1)/(cosx))/(1-cosx)=-secx
-secx(1-cosx)=((cosx-1)/(cosx))
-(1/cosx)(1-cosx)=((cosx-1)/(cosx))
(1/cosx)(cosx-1)=((cosx-1)(1/(cosx))
(1/cosx)=(1/(cosx))
Therefore left side equals right side.

Jul 25th, 2014

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