sin10°sin30°sin50°sin70°
=sin10°sin30°cos40°cos20°cos10°/cos10°
=1/2*sin20° *sin30°*cos40°*cos20°/cos10°
=1/4*sin40°*sin30°*cos40°/cos10°
=1/8*sin30°*sin80°/cos10°
=1/16