化简：sin^(-α)-tan(360-α)tan(-α)-sin(180-α)cos(360-α)tan(180+α)_数学解答

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

人气：289 ℃　时间：2020-01-30 00:57:24

解答

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...