Understanding and updating beliefs on deeply engrained topics can take enormous efforts, but sometimes it can be so hard that the listener cannot even in principle accept the new reality. The listener is simply not ready, he lacks a vast background of reasoning leading to the new understanding.
What fact that you know is true but most people aren't ready to accept it?
By "you know is true" I really mean "you are very confident to be true".
Feel free to use a dummy account.
It's entirely possible to take the Fourier transform of noise and see what sine waves you'd have to add together to reproduce the random data. So it's not true that noise doesn't contain sine waves; ideal "white noise" in particular contains every possible frequency at an equal volume.