Question

prove the identity (cosx/1-tanx) + (sinx/1-cotx) = cosx + sinx

Answer 1

hello there! Welcome to Openstudy !

Answer 2

Hi! Thanks

Answer 3

ok to your question:

try to write tan x and cos in terms of sin x and cos x then simplify

Answer 4

*tan x and cot x

Answer 5

I have it to ((cosx)/((cosx-sinx)/(cosx))+(sinx)/((sinx-cosx)/sinx))

Answer 6

\[\tan(x) = \frac{ \sin(x) }{ \cos(x) }, \cot(x) = \frac{ \cos(x) }{ \sin(x) }\]