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 
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{{{4sin(x)cos(x)+2sin(x)-2cos(x)-1=0}}}
{{{(2sin(x))(2cos(x)+1)-(2cos(x)+1)=0}}}
{{{(2cos(x)+1)-(2sin(x)+1)=0}}}
..
2cos(x)+1=0
cos(x)=-1/2
x=2&#960;/3, 4&#960;/3(in quadrants II and III in which cos<0)
or
2sin(x)-1=0
sin(x)=1/2
x=&#960;/6, 5&#960;/6(in quadrants I and II in which sin>0)