<span>Sin(2x)+sin(x)=2cos(x)+1</span>
<span>2sin(x)cos(x)+sin(x)=2cos(x)+1</span>
<span>sin(x)*(2cos(x)+1)=2cos(x)+1</span>
<span>sin(x)*2cos(x)+1)-1*(2cos(x)+1)=0</span>
<span>(sin(x)-1)(2cos(x)+1)=0</span>
<span>1)<span> </span></span><span>sin(x)-1=0</span>
<span>sin(x)=1</span>
<span>x=pi/2 +2pi*n</span>
<span>2)<span> </span></span><span>2cos(x)+1=0</span>
<span>2cos(x)=-1</span>
<span>cos(x)=-1/2 <span> </span></span>
<span>x=±arccos(-1/2)+2*pi*n</span>