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QUESTION

How do you verify ##(1+cos2x)/(sin2x) = cotx##?

Since

##cos2x=cos^2x-sin^2x=1-2sin^2x=2cos^2x-1##

and

##sin2x=2sinxcosx##

then:

##(1+2cos^2x-1)/(2sinxcosx)=cotxrArr##

##(2cos^2x)/(2sinxcosx)=cotxrArr##

##cosx/sinx=cotxrArr##

##cotx=cotx##.

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