Question 1178160

{{{4sin^3 (x) = sin (x)}}}

{{{4sin^3 (x)/sin (x) = sin (x)/sin (x)}}}

{{{4sin^2 (x) = 1}}}

{{{sin^2 (x) = 1/4}}}

{{{sin(x) = sqrt(1/4)}}}

{{{sin(x) = 1/2}}} or {{{sin(x) = -1/2}}} 

since given the interval{{{ 0 <= x < 2pi}}}, go with positive solution sine is positive in quadrants I and II only 

{{{sin(x) = 1/2}}}

 {{{x=sin^-1(1/2)}}}

solutions in radians:
 {{{x=0}}}
{{{x=pi= 3.14159}}}->rounded  to the nearest ten-thousandth
{{{x=7pi/6= 3.66519 }}}
{{{x=11pi/6=5.75959}}}
{{{x=pi/6=0.52360 }}}
{{{x=5pi/6=2.61799}}}

solutions in degrees:
{{{x=0}}}°
{{{x=180}}}°
{{{x=210}}}°
{{{x=330}}}°
{{{x=30}}}°
{{{x=150}}}°