Решите уравнение: \(sin{x}+cos{x}=\sqrt2.\)

• \(\frac{\pi}{4}+2{\pi}k,k{\in}Z\)
• \(\frac{\pi}{2}+2{\pi}k,k{\in}Z\)
• \(\frac{\pi}{6}+{\pi}k,k{\in}Z\)
• \(\frac{\pi}{3}+{\pi}k,k{\in}Z\)