√(3)sin(-1200°)tan11/6π-cos585°tan(-37/4π)

问题描述:

√(3)sin(-1200°)tan11/6π-cos585°tan(-37/4π)

=√3sin240tan5π/6-cos135tan(-π/4)
=√3(-√3/2)(-√3/3)-(-√2/2)(-1)
=√3/2-√2/2
=(√3-√2)/2