Verify the identity (sin x + tan x)/(1 + cos x) = tan x

[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?

 

[StatusX]

multiply by cos(x)/cos(x)

 

[dec1ble]

hmm - can you simplify any of it for me in steps?

 

[StatusX]

$$\frac{sin x + tan x}{1+cos x}$$

$$\frac{(sin x + tan x)(cos x)}{(1+cos x) (cos x)}$$

$$\frac{sin x \cdot cos x + sin x}{cos x (1+cos x)}$$

can you take it from here?