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.

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.

hartnn · Answer

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

anonymous · Answer

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

hartnn · Answer

(1/tanx) + tanx 

just replace tan x by sin x/cos x here
what u get ?

anonymous · Answer

1/tanx + sinx/cosx

hartnn · Answer

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

anonymous · Answer

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

hartnn · Answer

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

anonymous · Answer

No idea...

hartnn · Answer

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