cos225°+tan240°+sin(-60°)+tan(-420°)=

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cos225°+tan240°+sin(-60°)+tan(-420°)=cos225°+tan240°+sin(-60°)+tan(-420°)=cos225°+tan240°+sin(-60°)+

cos225°+tan240°+sin(-60°)+tan(-420°)=
cos225°+tan240°+sin(-60°)+tan(-420°)=

cos225°+tan240°+sin(-60°)+tan(-420°)=
根据诱导公式
原式=cos(270°-45°)+tan(180°+60°)-sin60°+tan(-360°-60°)
=-sin45°+tan60°-sin60°-tan60°
=-√2/2-√3/2