SOLUTION: Find all solutions of the equation below on the interval [0,2pi). Enter your answer as a comma-separated list of values or enter none if there is no solution. 4sin xcos x + 2sin

Question 827659: Find all solutions of the equation below on the interval [0,2pi). Enter your answer as a comma-separated list of values or enter none if there is no solution.
4sin xcos x + 2sin x -2cos x-1 = 0

Answer: x =
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all solutions of the equation below on the interval [0,2pi). Enter your answer as a comma-separated list of values or enter none if there is no solution.
4sin xcos x + 2sin x -2cos x-1 = 0
***

..
2cos(x)+1=0
cos(x)=-1/2
x=2π/3, 4π/3(in quadrants II and III in which cos<0)
or
2sin(x)-1=0
sin(x)=1/2
x=π/6, 5π/6(in quadrants I and II in which sin>0)
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