Question

Вычислите:
2 sin 870°+√12*cos 570°-tg ^2 60°

Answer 1

2.sin870°+√12.cos570°-tg²60°=2.sin(2.360°+150°)+√12.cos(720°-150°)-
-(√3)²=2.sin150°+√12.cos(-150°)-3=2.sin30°+√12.cos150°-3=
=2.0,5+√12.(-cos30°)-3=1+√12.(-√3/2) -3=-2 -√36/2=-2-6/2=-2-3=-5