根号3sin(-1200°)tan11π/6-cos585°tan(-37π/4)

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根号3sin(-1200°)tan11π/6-cos585°tan(-37π/4)

根号3sin(-1200°)tan11π/6-cos585°tan(-37π/4)
根号3sin(-1200°)tan11π/6-cos585°tan(-37π/4)

根号3sin(-1200°)tan11π/6-cos585°tan(-37π/4)
√3sin(-1200°)tan11π/6 - cos585°tan(-37π/4)
=√3sin60°tanπ/6 -cos45°tanπ/4
=√3/2 -√2/2
=(√3 -√2)/2