+0  
 
0
38
1
avatar+24 

What are the solutions of the equation secxcotx=−2 on the interval [0,2π)

 May 22, 2020
 #1
avatar+111321 
+1

sec x  cot x  =  -2

 

(1/cosx) (cos x/ sin x)  =  -2

 

(1/sin x )  =  - 2            which also implies  that

 

sin x = -1/2

 

And this is  true when x  =  7pi/ 6     and  11pi/6

 

 

cool cool cool

 
 May 22, 2020

4 Online Users