Question 61261
{{{4 sin^2x-3=0}}}  Add 3 to both sides
{{{4 sin^2x=3}}} Divide both sides by 4
{{{1 sin^2x=3/4}}} I had to put the 1 in the front to get this to display properly but it is not needed in the written answer.
Find the square root of both sides. Remember there is both a positive and a negative root.
{{{sinx=sqrt(3)/2}}} or {{{sinx=-sqrt(3)/2}}}
ie x could be 60, 120, 240 or 300 degrees.