Question 1180404


 {{{cos(x) = (1/2)sin(x) }}}   for {{{0 < x < 2pi}}}

{{{cos(x) = (1/2)sin(x) }}}.... both sides divide by {{{cos(x)}}}

{{{1= (1/2)(sin(x) /cos(x) )}}}.......... both sides multiply by {{{2}}}, use identity {{{tan(x)=sin(x) /cos(x) }}}

{{{2= tan(x) }}}

{{{x= tan^-1(2) }}}

solution:

{{{x=1.107148717794}}}

{{{x=1.11}}}  radians

 since {{{tan (x)}}} is periodic and the period is{{{ pi}}}, also it is given {{{0 < x < 2pi}}}
other solution is

{{{x=1.11+pi}}}
{{{x=4.25}}}  radians