\({1 \over sin(x) - 1}\) + \({1 \over sin(x) + 1}\)
I have tried to make them common denominators, but that doesn't do anything.
The textbook answer is \({-2 tan(x) \over cos (x)}\) , how should I get that?
throw it into symbolab and that will give you a step-by-step explanition.
it works everytime.
1 / [ sin x - 1 ] + 1 / [ sin x + 1 ] get a common denominator
[ sin x + 1 ] + [ sinx - 1 ]
_____________________
[ sin x - 1 ] [ sin x + 1 ]
2sin x
_________ multiply top/bottom by - 1
sin^2 x - 1
-2 sin x
_________
1 - sin^2 x
-2 sin x - 2 sin x 1 -2 tan x
_________ = _______ * ____ = _______
cos ^2 x cos x cos x cos x