What does V(in)=V(max).sin(wt) mean in DC smoothing circuits?

[Sparkyian]

Can someone please explain to me in brief detail as to what each expression means for the given formula:-

V(in)=V(max).sin(wt)

and to how this formula works? It is a formula that has been given to me in order to work out time at which a waveform=V(min) for a dc smoothing circuit with a typical power supply.

 

[Redbelly98]

V(in) is a voltage that changes with time. It changes with time in a sinusoidal fashion, with an amplitude of V(max). The angular frequency is w (units: radians/second) or a cycle frequency f=2*pi*w (units: cycles/second or Hz).

 

[Sparkyian]

Thank you very much, I now understand.