Answer to Question #5747 in Trigonometry for Britt

Question

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

tan²x

Answer 1

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