Question 379346
{{{-sin(2x) =3*cos(x)}}}
{{{-2*sin(x)*cos(x)=3*cos(x)}}}
{{{-2*sin(x)*cos(x)-3*cos(x)=0}}}
{{{-cos(x)(2*sin(x)-3)=0}}}
Two solutions:
{{{cos(x)=0}}}
{{{highlight(x=pi/2)}}} and {{{highlight(x=(3*pi)/2)}}}
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{{{2*sin(x)-3=0}}}
{{{2*sin(x)=3}}}
{{{sin(x)=3/2}}}
No solution since {{{-1<=sin(x)<=1}}}
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{{{drawing(300,300,-1,7,-4,4,circle(pi/2,0,0.2),circle((3*pi)/2,0,0.2),graph(300,300,-1,7,-4,4,0,-sin(2x),3*cos(x)))}}}