化简 tan(18°-x)tan(12°+x)+根号3乘[tan(18°-x)+tan(12°+x)]=
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化简 tan(18°-x)tan(12°+x)+根号3乘[tan(18°-x)+tan(12°+x)]=
因为,tan30°=tan(18°-x)+tan(12°+x/1-tan(18°-x)tan(12°+x)
tan(18°-x)+tan(12°+x)=tan30°*[(1-tan(18°-x)tan(12°+x)]
所以,tan(18°-x)tan(12°+x)+根号3乘[tan(18°-x)+tan(12°+x)]
=tan(18°-x)tan(12°+x)+根号3乘tan30°*[(1-tan(18°-x)tan(12°+x)]
=tan(18°-x)tan(12°+x)+根号3乘根号3/3*[(1-tan(18°-x)tan(12°+x)]
=tan(18°-x)tan(12°+x)+1-tan(18°-x)tan(12°+x)=1
tan(18°-x)+tan(12°+x)=tan30°*[(1-tan(18°-x)tan(12°+x)]
所以,tan(18°-x)tan(12°+x)+根号3乘[tan(18°-x)+tan(12°+x)]
=tan(18°-x)tan(12°+x)+根号3乘tan30°*[(1-tan(18°-x)tan(12°+x)]
=tan(18°-x)tan(12°+x)+根号3乘根号3/3*[(1-tan(18°-x)tan(12°+x)]
=tan(18°-x)tan(12°+x)+1-tan(18°-x)tan(12°+x)=1
化简 tan(18°-x)tan(12°+x)+根号3乘[tan(18°-x)+tan(12°+x)]=
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