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若sinθ+sin^2θ=1,则cos^2θ+cos^4θ+cos^6θ
人气:414 ℃ 时间:2020-04-22 00:41:50
解答
sinθ+sin^2θ=1,sin^2θ+cos^2θ=1∴sinθ=cos^2θ等式两边同时乘以sinθ有sin^2θ+sin^3θ=sinθ∴sin^3θ=sinθ-sin^2θ=cos^2θ-sin^2θ=cos2θ∴=sinθ+sin^2θ+sin^3θ=1+sin^3θ=1+cos2θ=2cos^2θ=2sinθ根...
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