+0  
 
+2
42
2
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\({1 \over sin(x) - 1}\) + \({1 \over sin(x) + 1}\)

 

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?

 Feb 22, 2019
 #1
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0

throw it into symbolab and that will give you a step-by-step explanition.

 

it works everytime.

 Feb 22, 2019
 #2
avatar+98130 
+3

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

 

 

 

 

cool cool cool

 Feb 22, 2019

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