Question 590169
{{{sin^2(x)}}} = {{{3cos^2(x)}}}
<pre>
Divide both sides by cos²(x)

{{{sin^2(x)/cos^2(x)}}} = 3

{{{(sin(x)/cos(x))^2}}} = 3

tan²(x) = 3

tan(x) = ±{{{sqrt(3)}}}

x = 60° and 240° if in degrees

x = {{{pi/3}}} and {{{4pi/3}}} if in radians

Edwin</pre>