求cos225°+tan960°+sin(-1140°)+cot(-570°)之值

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求cos225°+tan960°+sin(-1140°)+cot(-570°)之值
求cos225°+tan960°+sin(-1140°)+cot(-570°)之值

求cos225°+tan960°+sin(-1140°)+cot(-570°)之值
cos225°+tan960°+sin(-1140°)+cot(-570°)
=cos(180°+45°)+tan(720°+240°)+sin(-1080°-60°)+cot(-360°-210°)
=-cos45°+tan(180°+60°)-sin60°+cot(-180°-30°)
=-cos45°+tan60°-sin60°-cot30°
=-√2/2+√3-√3/2-√3
=-(√3+√2)/2

cos225°+tan960°+sin(-1140°)+cot(-570°)
=-cos45°+tan240°+sin(-1440°+300°)+cot(-360°-210°))
=-cos45°+tan60°-sin(60°)-cot(30°)
=-√2/2+√3-√3/3-√3
=-√2/2-√3/3
=-(3√2+2√3)/6

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