+0  
 
0
524
1
avatar

csc^2 (x)- csc(x) - 2=0

 Apr 2, 2015

Best Answer 

 #1
avatar+130517 
+5

csc^2 (x)- csc(x) - 2=0    factor

(cscx + 1) (cscx -2) = 0      set each factor to 0

So either

cscx  = -1      and this happens at  -3pi/2 ± n 2pi     where n is an integer

OR

cscx = 2        and this happens at pi/6 ± n 2pi     and  at  5pi/6  ± n2pi     agian, where n is an integer

 

   

 Apr 2, 2015
 #1
avatar+130517 
+5
Best Answer

csc^2 (x)- csc(x) - 2=0    factor

(cscx + 1) (cscx -2) = 0      set each factor to 0

So either

cscx  = -1      and this happens at  -3pi/2 ± n 2pi     where n is an integer

OR

cscx = 2        and this happens at pi/6 ± n 2pi     and  at  5pi/6  ± n2pi     agian, where n is an integer

 

   

CPhill Apr 2, 2015

0 Online Users