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用sinθ与cosθ表示sin6θ与cos6θ 能利用(cosθ+sinθi)^6=cos6θ+sin6θ 求出sin6θ=?cos6θ=?
人气:223 ℃ 时间:2020-05-28 12:04:33
解答
(cosθ+isinθ)^6=cos^6θ+6icos^5θsinθ-15cos^4θsin^2θ-20icos^3θsin^3θ+15cos^2θsin^4θ+6icosθsin^5θ-sin^6θ=(cos^6θ-15cos^4θsin^2θ+15cos^2θsin^4θ-sin^6θ)+i(6cos^5θsinθ-20cos^3θsin^3θ...
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