Peak, rms and the instant in code

You will write four small functions about an alternating voltage. They use $V_{rms} = V_m/\sqrt{2}$ and $v = V_m \sin \omega t$.

The idea. A sine wave of peak value $V_m$ has an rms value of $0.707\, V_m$. In general, the rms value of any list of values is the root of the mean of their squares.

Your tasks.

1. In rms_from_peak, return the rms value of a sine wave with the given peak value.
2. In angular_frequency, return $\omega$ in rad/s for a frequency f in Hz.
3. In instant, return the value at the time t, in s, of a sine wave with the given peak value and frequency.
4. In rms_of_samples, return the rms value of a list of values. Square each one, take the mean, then the root.