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sinα =2sin(2a+α ) 求证:tan(a+α)=-3tana
人气:297 ℃ 时间:2020-05-23 11:25:24
解答
即sin[(a+α)-a]=2sin[(a+α)+a]
sin(a+α)cosa-cos(a+α)sina=2sin(a+α)cosa+2cos(a+α)sina
sin(a+α)cosa=-3cos(a+α)sina
两边除以cosacos(a+α)
sin(a+α)/cos(a+α)=-3cos(a+α)sina/cosa
tan(a+α)=-3tana
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