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

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

√(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