1. The problem statement, all variables and given/known data Simplify: cosx / (1+sinx) 2. The attempt at a solution 1 / (sec x)(1+sin x) 1 / (sec x + (sin x / cos x)) 1 / (sec x + tan x) I know that the answer is sec x - tan x but don't know how to get there. Any help would be appreciated.
You could also just multiply top and bottom of your given expression by (1-sin(x)) and expand. It's really the same thing as jing is suggesting.
OK, So it's (sec x - tan x) / (sec x + tan x)(sec x -tan x) = (sec x - tan x) / 1 = sec x -tan x Thank you so much!!