Radios work through the transmission of sounds waves as everyone pretty well knows. A sinusoid would look very much like a sound wave as they both have a certain frequency and amplitude making them sound the way they do and they both have a certain period that it takes to complete one cycle or sound transmission. The key points that would be used to graph a sound wave would look similar to the ones used to graph a sinusoid. To visually see a sound wave is the form of a sinusoid. Here are a few pictures of sound waves showing how they are visually showed as sinusoids. The second picture is of a real trig function for the note A and how it would be graphed.
Sources:
graphsofsineandcosine.weebly.com
Rogness, Jonathan. "Soundwaves." Soundwaves. N.p., n.d. Web. 18 Feb. 2013.
http://www.math.umn.edu/~rogness/math1155/soundwaves/
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