Question

(sinx)/(1-cosx) + (sinx)/(1+cosx) = 2 csc x

Need step by step! Trig homework help

Answer 1

well use the same method you would for adding 1/2 and 1/3

you need a common denominator... and then cross multiply...

it starts as

\[\frac{\sin(x)(1 + \cos(x)) + \sin(x)(1 - \cos(x))}{(1 - \cos(x))(1+\cos(x))}\]

the denominator is the difference of 2 squares... and a variation on a key trig identity.

distribute in the numerator and then collect like terms...

then things may become clearer

hope it helps