sin10°sin30°sin50°sin70°=1/2sin(90°-80°)sin(90°-40°)sin(90°-20°)
=1/2cos20°Xcos40°Xcos80°
=1/2sin20°Xcos20°Xcos40°Xcos80°/sin20°
=1/2X1/2Xsin40°Xcos40°Xcos80°/sin20°
=1/16Xsin160°/sin20° sin160°=sin20°
=1/16
=sin(30-20)sin(30+20)sin(90-20)sin30