化简√3sin(-1200°)tan11π/6-cos585°tan(-37π/4)=
问题描述:
化简√3sin(-1200°)tan11π/6-cos585°tan(-37π/4)=
答
原式
=√3sin(-1200°+360°*3)*tan(11π/6-2π) - cos(585°-360°*2)tan(-37π/4 +10π)
=√3sin(-120°) *tan(-π/6) - cos(-135°) *tan(3π/4)
=√3 * (-√3/2) *(-√3/3) -√2 /2 * 1
= -√3/2 -√2/2