Trig Help - Need Help Verifying This Identity!

1. Nov 16, 2004

dec1ble

im trying to verify this identity - sin x + tan x / 1 + cos x = tan x - i get lost very easily and need the steps - can anyone help me? :yuck:

2. Nov 17, 2004

Tide

It might help if you took a little more care in writing your expressions with suitable placement of parentheses and properly distinguishing between hyphens and minus signs.

3. Nov 17, 2004

HallsofIvy

Staff Emeritus
Tide's point is that it is not clear if you mean (sin x+ tan x)/(1+ cos x) or
sin x+ (tan x/(1+ cos x), or (-sin x+ tan x)/(1+ cos x) or...

Probably you mean (sin x+ tan x)/(1+ cos x)= tan x.

Hint: replace tan x by sin x/cos x. Then do the algebra to simplify the left side.
(1+ cos x is important!)