Question 449364
Find all solutions of the equation in the interval [0,2pi]. 
(2cosθ+sqrt3)(cscθ+1)=0
..
(2cosx+√3)(cscx+1)=0
cscx+1=0
cscx=-1
x=3π/2 radians
2cosx+√3=0
cosx=-√3/2 
x=5π/6 & 7π/6 radians (cosine negative in quadrants II & III)
solutions:
x=3π/2, 5π/6, and 7π/6 radians