Question

Вычислите √3 tg 60° - sin² 45° + cos 30°

Answer 1

tg 60° = √3
sin 45° = $\frac{ \sqrt{2} }{2}$
cos 30° = $\frac{ \sqrt{3} }{2}$
√3*√3-$( \frac{ \sqrt{2} }{2}) ^{2}$+$\frac{ \sqrt{3} }{2}$
3 - $\frac{1}{2}$ + $\frac{ \sqrt{3} }{2}$
$\frac{5+ \sqrt{3} }{2}$

Answer 2

√3tg60°-sin^2(45°)+cos30°=√3•√3-(√2/2)^2+
+√3/2=3-2/4+√3/2=3-1/2+
√3/2=
(6-1+√3)/2=(5+√3)/2