求下列函数值：根号3sin(-1200°)cos35/3派-cos585°tan(-3派/4)

原式=√3 sin(-1200+1080)cos35π/3-cos(585-360)tan(-3π/4)
=√3sin(-120)cos(35π/3-12π)+cos(225)tan3π/4
=√3sin120cos(-π/3)+cos(-135)tan3π/4
=√3sin120cosπ/3+cos(45+90)tan3π/4
=√3×√3/2×1/2+(-cos45)(-1)
=3/4+√2/2