Proving the Identity: cot x + tan x = sec x csc x

[Johnny Blade]

I need to prove algebraically this and I'm having trouble with it.

cot x + tan x = sec x csc x

Can anyone help me?

 

[Archduke]

What is tan x in terms of sin x and cos x? And cot x?

 

[Johnny Blade]

Ahh... I see.

cos^2 x + sin^2 x
------------------ = MD
sin x cos x

1
---------- = MD
sin x cos x

Then

sec x csc x= sec x csc x CQFD

I always see those problem and try to complicate things. Thanks for your help.