sin10°sin30°sin50°sin70°
=(1/2)sin10°sin50°sin70°
=(1/2)cos80°cos40°cos20°
=(1/2)cos80°cos40°cos20°sin20°/sin20°
=(1/4)cos80°cos40°sin40°/sin20°
=(1/8)cos80°sin80°/sin20°
=(1/16)sin160°/sin20°=1/16.
sin10°sin30°sin50°sin70°
=(1/2)sin10°sin50°sin70°
=(1/2)cos80°cos40°cos20°
=(1/2)cos80°cos40°cos20°sin20°/sin20°
=(1/4)cos80°cos40°sin40°/sin20°
=(1/8)cos80°sin80°/sin20°
=(1/16)sin160°/sin20°=1/16.