Which expression is equal to (Sinx/1+cosx) + (sinx/1-cosx)

Question

Which expression is equal to (Sinx/1+cosx) + (sinx/1-cosx)

A) 2Sinx

B) 2Cosx

C) 2Secx

D) 2Cscx

Answer 1

[Sin( 1 - cos) + sin ( 1 + cos))/ [ 1 - cos^2]

[ sin - sin cos + sin + sin cos]/[sin ^2]

2 sin /sin^2

= 2/ sin

= 2 csc

D