化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α)
问题描述：
化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α)
答
原式=(-sinα)^2-(tanα)^2-sinαcosαtanα
=(sinα)^2-(tanα)^2-sinαcosα*sinα/cosα
=(sinα)^2-(tanα)^2-(sinα)^2
=-(tanα)^2
答
请问“sin^(-α）”是什么意思？
答
用诱导公式sin(-α)=-sinαtan(360-α)=tan(-α)=-tanαtan(-α)=-tanαsin(180-α)=sinαcos(360-α)=cos(-α)=cosαtan(180+α)=tanα所以原式=(-sinα)^2-(tanα)^2-sinαcosαtanα=(sinα)^2-(tanα)^2-sinαco...