Question

8sin4pi/9 sin2pi/9 sin pi/9 = sqrt 3

Answer 1

Answer:

sin (4*Pi/9)=sin(120)=sin(90+30)=cos(30)=sqrt(3)/2.

sin(2*Pi/9)=sin(40)=2*sqrt(3)/5

sin(Pi/9)=sin(20)=sqrt(3)/5.

so total 8*√3/2*2*√3/5*√3/5=24*√3/25=approximately√3

Step-by-step explanation:

√3*√3=3