[tex]u=U_{max}sin(\omega t+\varphi)(V)\\u=2\sqrt{2}sin(200\pi t+\frac{\pi}{12}) (V) \\\omega=200\pi rad/s\\\omega=2\pi\nu=>\nu=\frac{\omega}{2\pi}=\frac{200\pi}{2\pi}=100 Hz=>\nu=100Hz \\U_{max}=2\sqrt{2} V\\U_{max}=\sqrt{2}U=>U=\frac{U_{max}}{\sqrt{2}} =\frac{2\sqrt{2}}{\sqrt{2}}=2 V=>U=2 V[/tex]
