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

原式=-根号3sin（6π+2π/3）cos（11π+2π/3）【-cos（4π+5π/4）】tan（-3π/4）=-根号3sin（2π/3）cos（2π/3）（-cos5π/4）tan（-3π/4）=-根号3×根号3/2×（-1/2）×根号2/2×1=3根号2/8

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