Вычислите:
\(\sin{\frac{\pi}{3}}+\sqrt{2}\cos{\frac{\pi}{4}}-\sqrt{3}\ctg{\frac{\pi}{6}}.\)

• \({\frac{\sqrt{3}}{2}}-2\)
• \({\frac{\sqrt{3}}{2}}+2\)
• \({\frac{\sqrt{3}}{2}}\)
• \(2-{\frac{\sqrt{3}}{2}}\)