tan30°sin60°-cot45°=?

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tan30°sin60°-cot45°=?

tan30°sin60°-cot45°=?
tan30°sin60°-cot45°=?

tan30°sin60°-cot45°=?
tan30°sin60°-cot45°
=√3/3×√3/2-1
=1/2-1
=-1/2

tan30°=3分之根号3 sin60°=2分之根号3 cot45=2分之根号2 所以上式=(1-根号2)/2

tan30°sin60°-cot45°
=sin30°/cos30°*sin60°-1
=sin30°/sin60°*sin60°-1
=sin30°-1
=1/2-1
=-1/2