simplify (1/1-cosx)-(1/1+cosx)

Question

I don't know how to simplify this trig problem.

Answer 1

2 cos x/sin²x

 

also equals (2 cot x)(csc x)

Answer 2

(1 / ( 1 - cos x)) - (1 / (1 + cos x))

     LCD is (1 - cos x)(1 + cos x)

((1 + cos x) - (1 - cosx)) / (1 - cos x )(1 + cos x)

2 cos x / (1 - cos² x)

2 cos x / sin² x