化简sin10sin30sin50sin70

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化简sin10sin30sin50sin70化简sin10sin30sin50sin70化简sin10sin30sin50sin70sin10sin30sin50sin70=1/2*sin10*sin

化简sin10sin30sin50sin70
化简sin10sin30sin50sin70

化简sin10sin30sin50sin70
sin10sin30sin50sin70
= 1/2 * sin10 * sin50 * sin70
=1/2 * sin10 * cos20 * cos 40
=1/2 * cos10 * sin10 * cos20 * cos 40 / cos10
=1/4 * sin20 * cos20 * cos40 / cos10
=1/8 * sin40 * cos40 / cos10
=1/16 * sin80 / cos10
=1/16 * cos10 / cos10
=1/16