cos100°-cos40°=(-sin70°)怎么从左边推算到右边的?

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cos100°-cos40°=(-sin70°)怎么从左边推算到右边的?
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cos100°-cos40°=(-sin70°)怎么从左边推算到右边的?
cos100°-cos40°=(-sin70°)怎么从左边推算到右边的?

cos100°-cos40°=(-sin70°)怎么从左边推算到右边的?
cos100°-cos40°
=cos(70°+30°)-cos(70°-30°)
=cos70°cos30°-sin70°sin30°-cos70°cos30°-sin70°sin30°
=-2sin30°sin70°
=-2*(1/2)*sin70°
=-sin70°