Question

Prove:
(sinx-cosx)/(sinx+cosx)= (2sin^2x-1)/(1+2sinxcosx)

Answer 1

\[Prove: (sinx-cosx)/(sinx+cosx)= (2\sin^2x-1)/(1+2sinxcosx)\]

Answer 2

Prove:
(2tanx)/(1-tan^2x)+1/(2cos^2x-1) = (sinx+cosx)/(sinx-cosx) :)

Answer 3

multiply left side by (sinx+cosx)/(sinx+cosx) and you get

(sin^2x -cox^2x)/(1+2sinxcosx)=(sin^2x-1+sin^2x)/((1+2sinxcosx)=
=(2sin^2x-1)/(1+2sinxcosx)

Answer 4

ohhhh thank you :DD

Answer 5

how about the second one ?