Question

Prove the following identity:
(1/tanx) + tanx = (1/sinx cosx)
I have attempted to convert 1 to sin^2x+cos^2x and then made both denominators equal but I am uncertain if I am correct or not. Thanks.

Answer 1

write tan x as sin x/ cos x
what u get ?

Answer 2

(1/(sinx/cosx)) I'm not really sure how to do this though.

Answer 3

(1/tanx) + tanx

just replace tan x by sin x/cos x here
what u get ?

Answer 4

1/tanx + sinx/cosx

Answer 5

there still is a tan x there, replace it too!

Answer 6

(1/(sinx/cosx)) + sinx/cosx?

Answer 7

correct,
now what does (1/(sinx/cosx)) simplify to ?

Answer 8

No idea...