(tan-150度)cos(-570度)cos(-1140度)tan(-240度)/sin(-690度)等于多少

问题描述:

(tan-150度)cos(-570度)cos(-1140度)tan(-240度)/sin(-690度)等于多少

tan -150° cos -570° cos -1140° tan -240°/sin -690°
=tan (-180°+30°) cos (-720°+150°) cos (-1260°+120°) tan (-360°+120°)/sin (-720°+30°)
=tan 30° cos 150° (-cos120°) tan 120°/sin30
=√3/3 × -√3/2 × 1/2 × -√3 ÷ 1/2
=√3/2
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