cos(α+β)*cos(α-β)=1/5,求cos^2(α)-sin^2(β)
人气:277 ℃ 时间:2020-04-10 16:10:12
解答
cos(α+β)*cos(α-β)=(cosαcosβ-sinαsinβ)*(cosαcosβ+sinαsinβ)=cos^2(α)cos^2(β) -sin^2(α)sin^2(β) = cos^2(α)(1-sin^2(β) )-(1- cos^2(α)) sin2β= cos^2(α)- cos^2(α)sin^2(β) - sin^2(...
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