We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+2
83
2
avatar

\({1 \over sin(x) - 1}\) + \({1 \over sin(x) + 1}\)

 

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
avatar
0

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

 

it works everytime.

 Feb 22, 2019
 #2
avatar+101762 
+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

11 Online Users

avatar
avatar