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4. 設 an=sinnθ+cosnθ,其中n 為正整數,若a1=sin θ+cosθ 為有理數,求證 an均為有理數。
問題詳情
4. 設 an =sin nθ+cosn θ ,其中n 為正整數,若a1 = sin θ+cosθ 為有理數,求證 a n 均為有理數。
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