Question

sin(П/3)*sin(П/4)*sin(П/6)*sin(П/2)

Answer 1

$sin(pi/3)*sin(pi/4)*sin(pi/6)*sin(pi/2)=frac{sqrt{3}}{2}*frac{sqrt{2}}{2}*frac{1}{2}*1=frac{sqrt{6}}{8}$

Answer 2

$sinfrac{pi}{3} cdot sinfrac{pi}{4} cdot sinfrac{pi}{6} cdot sinfrac{pi}{2}=frac{sqrt{3}}{2} cdot frac{sqrt{2}}{2} cdot frac{1}{2} cdot 1=frac{sqrt{6}}{8}$