Question

How do I prove this: (secx-cosx)(cscx-sinx)=tanx/(1+tan^2x)

Answer 1

left side: (1-cos^2x)/cosx * (1-sin^2x)/sinx
(sin^2xcos^2x)/(sinxcosx)
sinxcosx
is that right?

Answer 2

hmmmm

Answer 3

you have a calculater?

Answer 4

with the sin cos

Answer 5

yeah i do, but imnot suppose to use a calculator for this

Answer 6

\[(1/\cos-\cos)(1/\sin-\sin)=[ (1-\cos^2)/\cos][(1-\sin^2)/\sin]=(\sin^2/\cos)(\cos^2/\sin)\]