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How do you find the exact value of tan2x using the double angle formula?

1 Answer

Apr 26, 2015

#tan2x=(2tanx)/(1-tan^2x)#

Proof:

#tan2x = (sin2x)/(cos2x)=(2sinxcosx)/(cos^2x-sin^2x)=((2sinxcosx)/(cos^2x))/(1-(sin^2x)/(cos^2x))=(2tanx)/(1-tan^2x)#

QED

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