Question

Calculati
sin60°*tg30°-cos60°*sin45°+cos45°*ctg45°

Answer 1

$\frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{3} - \frac{1}{2} \times \frac{ \sqrt{2} }{2} + \frac{ \sqrt{2} }{2} \times 1 =$
$= \frac{3}{6} - \frac{ \sqrt{2} }{4} + \frac{ \sqrt{2} }{2} = \frac{1}{2} - \frac{ \sqrt{2} }{4} + \frac{ \sqrt{2} }{2} =$
$= \frac{1}{4} - \frac{ \sqrt{2} }{4} + \frac{ 2\sqrt{2} }{4 } = 1 + \sqrt{2}$