A sinusoid is a perfect wave-shape, regular, smooth, continuous, no spikes, gaps or jerks, and with a regular repeating pattern.
The mathematical function called sine generates just one type of sinusoidal wave, but by adjusting the parameters you can generate all sorts of things [1].
Radio waves are also just waves. They happen to follow, like many things in natural from tides and individual ocean waves (gosh, I wonder why these shapes are called waves?) to day/night patterns etc., the same kind of shape as a sinusoid.
A wave isn’t something special, there aren’t sine waves and radio waves. Radio happens to oscillate in a nice frequency if you make it do that, and audio oscillates in different frequencies but if you look at individual “perfect” notes then it’s often a sinusoidal wave that’s being made by the speaker / eardrum.
A sine wave isn’t a “thing”. It’s just a term for that kind of regular, smooth, continuous, perfect oscillation.
[1] Interestingly, by combining many sine waves of different amplitudes, frequencies and phases, you can generate just about anything. With a thing called a Fourier transform, you can literally transform any data into a set of sinusoidal curves that when added together replicate the original data. If you do it in one dimension: That’s how MP3 works. In two dimensions, that’s how JPEG works. In three dimensions, that’s how MPEG works.
That’s how your ears and sounds and even light works too. The light at Frequency X oscillates in a wave of that frequency. The light at Frequency Y oscillates in a wave of another frequency. Add them all together and you have different colours of light mixing and do it with sound and you have different frequencies combining to make a range of sounds.
https://www.jezzamon.com/fourier/
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