Sound Waves, Voice Waves, and Trigonometric Functions

The idea, in my own words.

Look, sound and voice waves are basically the little invisible lines that travel out of a thing making sound. For example, if I screamed right now and put my hand on my neck, I would feel vibrations that give us different shapes and curves we call waves.

To describe it we use something called trigonometric functions. Trigonometric functions are just two words fused together. Trigonometric is measuring triangles, and a function is one number depending on another. So when you measure the angles of a triangle and graph the ratios, the line comes out wavy — same shape as the sound vibrations.

Worked example.

I asked myself a problem: A robot makes 30 scrap metal parts an hour. It makes 60 in 2 hours. How many will it make in 3, 4, and 5 hours?

The parts manufactured depends on the hours spent. A simple rule for this instance is parts = 30h, where h is for hours. The actual form of this example in function terms would be f(h) = 30h.

Using our rule we get:

• 90 scrap metal parts made in 3 hours
• 120 scrap metal parts made in 4 hours
• 150 scrap metal parts made in 5 hours

We can also graph the function like this:

This isn't the trigonometric function itself. It's a normal one. Trigonometric functions use angles instead of something like hours.

Carried question.