Question

Tan + Cos / 1 + Sin = Sec

Answer 1

`\tan x+(\cos x)/(1+\sin x)\\\\ =(\sin x)/(\cos x)+(\cos x)/(1+\sin x)\\\\=(\sin x(1+\sin x)+\cos^(2) x)/(\cos x(1+\sin x))\\\\=(\sin^(2) x+\cos^(2) x+\sin x)/(\cos x(1+\sin x))\\\\=(1+\sin x)/(\cos x(1+\sin x))\\\\=(1)/(\cos x)\\\\=\sec x`