Question

Simplify the expression using trigonometric identities:

Answer 1

D. 2 sinx / (1-cos x)

Explanation:

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