Question 388841
<pre><font face = "batangche" color = "indigo"><b>
{{{2sin(theta) + sqrt(3)=0}}} when {{{"0°" <= theta < "360°"}}}

{{{2sin(theta) + sqrt(3)=0}}}
{{{2sin(theta) =-sqrt(3)}}}
{{{sin(theta) = -sqrt(3)/2}}}

We know that {{{sin("60°") = ""+sqrt(3)/2}}}, not {{{-sqrt(3)/2}}}

but that tells us that the reference angle of <font face = "symbol">q</font> is 60°.

We also know that the sine is a negative number in the third and fourth
quadrants.  To find the angle whose reference angle is 60° in the 3rd
quadrant we add 180° to the reference angle 60°, and get 240°.  To find the
angle whose reference angle is 60° in the 4th quadrant we subtract the
reference angle 60° from 360° and get 300°.   

So yes you're right.

Edwin</pre>