Вычислите: \(sin{75^\circ}.\)

• \(\frac{\sqrt{6}+\sqrt{2}}{4}\)
• \(\frac{\sqrt{6}-\sqrt{2}}{4}\)
• \(\frac{\sqrt{3}-\sqrt{2}}{2}\)
• \(\frac{\sqrt{3}+\sqrt{2}}{2}\)