cos20度.cos40度.cos80度= sin10度.sin30度.sin50度.sin70度

2024-11-28 16:05:53
推荐回答(1个)
回答1:

cos20°·cos40°·cos80°
=8sin20°·cos20°·cos40°·cos80°÷8sin20°
=4sin40°·cos40°·cos80°÷8sin20°
=2sin80°·cos80°÷8sin20°
=sin160°÷8sin20°
=sin20°÷8sin20°
=8分模谨之1

sin10°·sin30°·sin50°·sin70°
=2分之1·sin10°·sin50°·sin70°
=2分激码枣之1·cos20°·cos40°·cos80°
=2分明拆之1·8分之1
=16分之1