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:六六作业网 时间:2024/12/24 02:40:04
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)

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