Homework Sourse14 2cotxcsc x cot x 0 Solution2cotx cscxcotx0 take cotx as
14. 2cotx-csc x cot x = 0 
Solution
2cotx -cscxcotx=0
take cotx as common
cotx(2-cscx)=0
cotx =0, 2-cscx =0
cotx=0,cscx =2
in 0<x<2pi
cotx =0==>x =pi/2,3pi/2
cscx=2=>x =pi/6,5pi/6
cotx =0=>x =(2n+1)pi/2, n=0,1,....
cscx=2=>x =2npi +(pi/6),2npi +(5pi/6),n=0,1,....
