Sin x + tan x per 1+ cos x

trigoometri
(sin x + tan x) / (1 + cos x) =
= (sin x + sin x/cosx) / (1 + cos x)
= [(sin x cos x + sin x)/ cos x]  / (1 + cos x)
= [ sin x (1+cos x) / cos x ] / (1 + cos x)
= [(sin x /cos x) (1 + cos x)] / [1 + cos x ]
= sin x/cosx
= tan x