Question 926877
Simplify:
cos 240 degrees. sin 15 degrees OVER (this is a fraction) cos(-30). cos 105 degrees. sin 270 degrees 
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{{{cos(240)sin(15)/cos(-30)cos(105)sin(270)}}}
{{{cos(240)=-1/2}}}
{{{sin(15)=sin(30/2)=sqrt((1-cos30)/2)=sqrt((1-sqrt(3)/2)/2)=sqrt((2-sqrt(3))/4)}}}
{{{cos(-30)=cos(30)=sqrt(3)/2}}}
{{{cos(105)=cos(210/2)=sqrt((1+cos210)/2)=sqrt((1-sqrt(3)/2)/2)=sqrt((2-sqrt(3))/4)}}}
{{{sin(270)=-1}}}
{{{(-1/2)sqrt((2-sqrt(3))/4)/(sqrt(3)/2)(sqrt((2-sqrt(3))/4))(-1)}}}
{{{(-1/2)/(sqrt(3)/2)(-1)=1/sqrt(3)=sqrt(3)/3}}}