tan21°+tan24°+tan21°tan24°的值怎么算啊?

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tan21°+tan24°+tan21°tan24°的值怎么算啊?
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tan21°+tan24°+tan21°tan24°的值怎么算啊?
tan21°+tan24°+tan21°tan24°的值怎么算啊?

tan21°+tan24°+tan21°tan24°的值怎么算啊?
tan45°=tan(21°+24°)=(tan21°+tan24°)/[1-tan21°tan24°]=1
tan21°+tan24°=1-tan21°tan24°
tan21°+tan24°+tan21°tan24°=1