1. The Sounds of Trig

2. One of the numerous applications of trigonometry includes the science of sound In a nut shell, sound is the pushing of certain air molecules at different rates Specially, the air molecules travel in waves – The bigger the wave, the more audible the sound is

3. Sine/Sound Waves As it turns out, we can model sound waves use the sine function, or as more commonly known, sine waves For acoustics (audible sound), sine waves, or sound waves, are written as: – y = A sin(2πft + φ)

4. Using the equation, we can model different levels or types of sounds according to different parameters A = amplitude (0 to 30,000) f = frequency (1 hertz to 100 hertz) t = time (essentially, your “x” variable) Φ = any phase shift you apply (between - 2π and 2π)

5. Exploration You and a few partners, take out your graphing calculators. For your quick assignment, I want you to explore what each variable does in terms of sound. 1) Change the Amplitude, 2 times 2) Change the frequency, 2 times 3) Apply any phase shift you want

6. Basic parameters: A = 100 f = 37 Φ = 0 Then, start changing your own parameters Write down the apparent changes it does to the graph; make it steeper, more broad, wider, etc. How would these changes apply to your perception of sound, in your opinion?