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  
 
0
208
1
avatar

How to simplify these two expressions?

 Feb 19, 2018
edited by Guest  Feb 19, 2018
 #1
avatar+99586 
+1

1.   (csc^2(x) - cot^2(x)) / (sin(-x)cot(x)

      

      Remember that  1 + cot^2 (x)  = csc^2 (x)

      So  csc^2 (x) - cot^2(x)  =  1

 

      Also   sin (-x)  =   - sin (x)

 

So  we have

 

1 / [ - sin (x) (cos (x)  / sin (x) ]  =

 

1 / (-cos (x) )  =    -  sec (x)

 

 

2.  sin ^2 (x)cos^2(x)  - cos^2(x)  =

 

(1  - cos^2(x) ) (cos^2 (x) ) -  cos^2(x)

 

cos^2(x) - cos^4 (x)   - cos^2(x)

 

-cos^4(x)

 

 

cool cool cool

 Feb 19, 2018

27 Online Users

avatar
avatar
avatar