sin10sin30sin50sin70的值

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sin10sin30sin50sin70的值

sin10sin30sin50sin70的值
sin10sin30sin50sin70的值

sin10sin30sin50sin70的值
sin10sin30sin50sin70
=cos10sin10sin30sin50sin70/cos10
=1/2sin20sin70sin30sin50/cos10
=1/4sin40sin50sin30/cos10
=1/8sin80sin30/cos10
=1/8cos10sin30/cos10
=1/8sin30
=1/8*1/2
=1/16

SIN10约为0.1736481777
SIN30为0.5
SIN50约为0.7660444431
SIN70约为0.9396926208
乘起来是1/16

sin10sin30sin50sin70=(sin10sin30sin50sin70*cos10)/cos10
=(sin20sin30sin50sin70)/2cos10
=(sin20sin30sin50cos20)/2cos10
=(sin40sin30sin50)/4cos10
=(sin40sin30cos40)/4cos10
=(sin80sin30)/8cos10
=(sin80sin30)/8sin80
=1/16