Question

Verify the identity.
tan^5x = tan^3xsec^2x -tan^3x

Answer 1

\[tan^5x=tan^3x*tan^2x\]
\[sin^2x+cos^2x=1\]
\[tan^2x+1=sec^2x\]
\[tan^2x=sec^2x-1\]

Answer 2

\[tan^3x(sec^2x-1\]

Answer 3

I got it! :) Thank you!