化简 (sin(540°-x))/(tan(900°-x))*(1/(tan(450°-x)tan(810°-x))*(
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/04 15:12:11
化简 (sin(540°-x))/(tan(900°-x))*(1/(tan(450°-x)tan(810°-x))*((cos(360°-x))/(sin(-x))
sin(540-x)=sin(360+180-x)=sin(180-x)=sinx
tan(900-x)=tan(-x)=-tanx
tan(450-x)=tan(360+90-x)=tan(90-x)=cotx
tan(810-x)=tan(720+90-x)=tan(90-x)=cotx
cos(360-x)=cos(-x)=cosa
sin(-x)=-sinx
所以原式=(-sinx/tanx)*(1/cot²x)*(-cosx/sinx)
=(sinx/tanx)*(1/cot²x)*cotx
=(sinx/tanx)*(1/cotx)
=sinx/(tanxcotx)
=sinx
tan(900-x)=tan(-x)=-tanx
tan(450-x)=tan(360+90-x)=tan(90-x)=cotx
tan(810-x)=tan(720+90-x)=tan(90-x)=cotx
cos(360-x)=cos(-x)=cosa
sin(-x)=-sinx
所以原式=(-sinx/tanx)*(1/cot²x)*(-cosx/sinx)
=(sinx/tanx)*(1/cot²x)*cotx
=(sinx/tanx)*(1/cotx)
=sinx/(tanxcotx)
=sinx
化简 (sin(540°-x))/(tan(900°-x))*(1/(tan(450°-x)tan(810°-x))*(
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