SOLUTION: Find all solutions of the equation in the interval [0,2pi]. (2cosθ+sqrt3)(cscθ+1)=0 Write your answer in radians in terms of pi . If there is more than one solutio

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of the equation in the interval [0,2pi]. (2cosθ+sqrt3)(cscθ+1)=0 Write your answer in radians in terms of pi . If there is more than one solutio      Log On


   



Question 449364: Find all solutions of the equation in the interval [0,2pi].
(2cosθ+sqrt3)(cscθ+1)=0

Write your answer in radians in terms of pi .
If there is more than one solution, separate them with commas.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
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