Question

What's the value of sin(npie/3)

Answer 1

sinnπ/3=sinn180/3=sinn60°

n=1 ,sin(1)60°=sin60=√3/2

n=2,sin(2)60°=sin120=sin(90+30)=cos30=1/2

n=3,sin(3)60°=sin180=sin(90+90)=cos90=0

n=4,sin(4)60°=sin240=sin(90+150)

=cos150=cos(90+60)=-sin60=-√3/2