Sin10度乘sin30度乘sin50度乘sin70度 等于多少

2025-03-26 02:48:15
推荐回答(2个)
回答1:

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

回答2:

=sin(30-20)sin(30+20)sin(90-20)sin30