化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α)

来源：学生作业帮助网编辑：作业帮时间：2024/10/07 21:55:32

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化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α)
化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α)

化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α)
用诱导公式
sin(-α)=-sinα
tan(360-α)=tan(-α)=-tanα
tan(-α)=-tanα
sin(180-α)=sinα
cos(360-α)=cos(-α)=cosα
tan(180+α)=tanα
所以原式=(-sinα)^2-(tanα)^2-sinαcosαtanα
=(sinα)^2-(tanα)^2-sinαcosα*sinα/cosα
=(sinα)^2-(tanα)^2-(sinα)^2
=-(tanα)^2

请问“sin^(-α）”是什么意思？

原式=(-sinα)^2-(tanα)^2-sinαcosαtanα
=(sinα)^2-(tanα)^2-sinαcosα*sinα/cosα
=(sinα)^2-(tanα)^2-(sinα)^2
=-(tanα)^2

化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α) 化简,cos²(-α)-tan(360°+α)/sin(-α) 化简cos^2(-α)-[tan(360°+α)/sin(-α)] 化简：tanα(cosα-sinα)+sinα(sinα+tanα)/1+cosα. 化简Sin(180-a)sin(270-a)tan(90-a)/Sin(90+a)tan(270+a)tan(360-a) sinα>tanα 化简tanα(cosα-sinα)+(sinα+tanα)/(cotα+cscα) 化简tanα(cosα - sinα) + (sinα + tanα) / (cotα + cscα) 化简：(sin^2α-tan^2α)/(sin^2α·tan^2α) 化简(sinα)/(1-cosα) *(根号((tanα-sinα)/(tanα+sinα)))化简（sinα）/(1-cosα）*（根号（（tanα-sinα）/（tanα+sinα）））化简：(sin²αtanα+cos²α/tanα+2sinαcosα)sinαcosα 化简tan（α+180度）+cos（-α）+cos（α+180度）分之sin（180度+α）-tan（-α）-tan（360度+α）若sinαtanα 若sinα*tanα 证明三角恒等式tanαsinα/(tanα-sinα)=(tanα+sinα)/tanαsinα 证明:(tanα*sinα)/(tanα-sinα)=(tanα+sinα)/(tanα*sinα) 证明:(tanα*sinα)/(tanα-sinα)=(tanα+sinα)/(tanα*sinα) 求证(tanα·sinα)/(tanα-sinα)=(tanα+sinα)/(tanα·sinα)