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已知sin(Π/6-α)=2cos(α-4Π),求cos(Π/2-α)+5sin(Π/2+α)分之2cos(Π/2+α)-sin(-α)
人气:227 ℃ 时间:2020-05-23 17:24:54
解答
sin(π/6-α)=2cos(α-4π)sin(π/6-α)=2cosαsinπ/6cosα-cosπ/6sinα-=2cosα1/2cosα-√3/2sinα-=2cosα3/2cosα=-√3/2sinα3cosα=-√3sinαsinα=-√3cosα[2cos(π/2+α)-sin(-α)]/[cos(π/2...我前面那块打错了,应该是(3Π+α)=2cos(α-4Π)应该怎么做呀?sin(3Π+α)=2cos(α-4Π)是这样吗?是的sin(3π+α)=2cos(α-4π) sin(π+α)=2cosα -sinα=2cosα sinα=-2cosα[2cos(π/2+α)-sin(-α)]/[cos(π/2-α)+5sin(π/2+α)] =(-2sinα+sinα)/(sinα+5cosα) =(-sinα)/(sinα+5cosα) =[-(-2cosα)]/(-2cosα+5cosα) =2cosα/(3cosα) =-2/3
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