# Answer to Question #5747 in Trigonometry for Britt

use power reducing formulas to rewrite the expression in terms of the first power of the cosin.
tan²x

tan^2(x)=sin^2(x)/cos^2(x)=(1-cos^2(x))/cos^2(x)=1/cos^2(x) -1=2/(1+cos(2x))

-1

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