find the general solution of cot²x + 3cosec x + 3=0

Hi Ameen , 
We know Cot²​x = Cosec²​x - 1 
Substitute this , 
We get the equation like , 
Cosec²​x - 3 Cosec x + 2 =0 
Therefore , solve this quadratic equation , we get , 
Cosex x = 1,2 

Therefore , x= (4n+1)Pi/2 or x=(3n+1)Pi/6 , 
where n is a integral number .. 
Thanks , 
Daryl