Question 1178162
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{{{sin(4x)-sqrt(3)*sin(2x)=0}}}<br>
The arguments for sine are 4x and 2x.  Use the double angle formula for sine to represent sin(4x) in terms of sin(2x) and cos(2x).<br>
{{{2sin(2x)cos(2x)-sqrt(3)*sin(2x)=0}}}<br>
Factor (the terms have a common factor of sin(2x))<br>
{{{sin(2x)(2cos(2x)-sqrt(3))=0}}}
{{{sin(2x)=0}}} OR {{{2cos(2x)-sqrt(3)=0}}}<br>
I'll leave it for you to finish from there.<br>
Re-post, showing the work you have done, if you need more help.<br>