SOLUTION: Please solve equation in radians for all exact solutions. Show all work {{2√3cos(x/2)=-3}}

Algebra ->  Trigonometry-basics -> SOLUTION: Please solve equation in radians for all exact solutions. Show all work {{2√3cos(x/2)=-3}}      Log On


   

Question 683120: Please solve equation in radians for all exact solutions. Show all work
{{2√3cos(x/2)=-3}}
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please solve equation in radians for all exact solutions. Show all work
{{2√3cos(x/2)=-3}}
2√3cos(x/2)=-3
cos(x/2)=-3/(2√3)=-3√3/2*3=-√3/2
cos(x/2)=-√3/2
x/2=5π/6+2πk and 7π/6+2πk, k=integer (in quadrants II and III where cos<0)
x=5π/3+2πk and 7π/3+2πk, k=integer