+0  
 
+1
70
1
avatar+17 

Hi.

 

Thank you so much in advance.

I need help proving

 \(csc(x)/(cot(x)+tan(x)) = cos(x)\)

bqrs01  Aug 30, 2017
Sort: 

1+0 Answers

 #1
avatar+78577 
+2

 

csc x / [ cot x + tanx ]  =   write in terms of sine and cosine

 

[ 1 / sin x] / [( cos x / sinx) + (sin x / cos x) ]      get a common denominator on the bottom 

 

[ 1 / sinx] / ( [ cos^2 x +  sin^2 x ]  / [sin x cosx ] )  =

 

 

 1                               [ cos^2 x +  sin^2 x ]

___         รท               ___________________       =

sin x                              sin x cosx 

 

 

  1                                    sin x cos x

___          X               ___________________   =        swap numerators

sin x                             [ cos^2 x +  sin^2 x ]

 

 

 

 sin x cos x        X           1

_________                  ____     =

  sin x                              1 

 

 

cos x

 

 

cool cool cool

CPhill  Aug 30, 2017

11 Online Users

avatar
avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details