(cos1+isin1)(cos2+isin2)=cos3+isin3 (con3+isin3)(cos5+isin5)=cos8+isin8(1)猜想出一个用f(x),f(y),f(x+y)表示的反应一般规律并证明(2)根据(1)推广f的n次方(x)的表达式(3)利用上式计算(cosπ/12+isinπ/12)(co
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![(cos1+isin1)(cos2+isin2)=cos3+isin3 (con3+isin3)(cos5+isin5)=cos8+isin8(1)猜想出一个用f(x),f(y),f(x+y)表示的反应一般规律并证明(2)根据(1)推广f的n次方(x)的表达式(3)利用上式计算(cosπ/12+isinπ/12)(co](/uploads/image/z/5343065-17-5.jpg?t=%28cos1%2Bisin1%29%28cos2%2Bisin2%29%3Dcos3%2Bisin3+%28con3%2Bisin3%29%28cos5%2Bisin5%29%3Dcos8%2Bisin8%281%EF%BC%89%E7%8C%9C%E6%83%B3%E5%87%BA%E4%B8%80%E4%B8%AA%E7%94%A8f%28x%29%2Cf%28y%29%2Cf%28x%2By%29%E8%A1%A8%E7%A4%BA%E7%9A%84%E5%8F%8D%E5%BA%94%E4%B8%80%E8%88%AC%E8%A7%84%E5%BE%8B%E5%B9%B6%E8%AF%81%E6%98%8E%EF%BC%882%EF%BC%89%E6%A0%B9%E6%8D%AE%EF%BC%881%EF%BC%89%E6%8E%A8%E5%B9%BFf%E7%9A%84n%E6%AC%A1%E6%96%B9%EF%BC%88x%29%E7%9A%84%E8%A1%A8%E8%BE%BE%E5%BC%8F%EF%BC%883%EF%BC%89%E5%88%A9%E7%94%A8%E4%B8%8A%E5%BC%8F%E8%AE%A1%E7%AE%97%EF%BC%88cos%CF%80%2F12%2Bisin%CF%80%2F12%29%28co)
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