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# Trig Applicatons in Sound Waves

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by

## Grace Maloney

on 5 November 2013

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#### Transcript of Trig Applicatons in Sound Waves

Trig Applicatons in Sound Waves
Music Production
Sound engineers have to be able to apply the basic laws of trigonometry through sine and cosine graphs.
Sound waves aren't as regular and recurring as a regular sine or cosine graph, but they still are very similar.
Engineering
Sound reaches our ears through sound waves
Sound waves travel from their original source to your ears by bouncing off of ceilings, concert halls, other people etc.
Volumes
The volume, or loudness, of a note can also be determined through amplitude.
Amplitude is the distance between the center fr line of the graph and the graph's maximum or minimum
Frequencies
Every note is determined by the size of its sine wave
in other words, by its frequency
Conclusion
Trigonometry is one of the most important units of math, for we use it almost CONSTANTLY everyday, whether we know it or not. Without trig, we couldn't even have houses or cars, let alone good music
If a note has a wider sine wave, then it has a lower pitch
If a note has a narrower sine wave, then it has a higher pitch
The smaller the amplitude, the quieter the sound.
The larger the amplitude, the louder the sound
A sine or cosine graph would repeat itself over and over again, after one period, 2 pi, but in music, the pitch varies throughout a song
Therefore, sound waves don't have the same repetitive nature, but they do have the same pattern
Engineers must use trig functions, like sine and cosine, in order to figure out the angles of the sound waves and how to make the most effective concert hall
Studio producers/ engineers sometimes install sound panels
These sound panels can be adjusted based on the music, creating the optimal sound
Some Other Trig Applications
astronomy
acoustics
optics
electronics
chemistry
pharmacy
statistics
biology
medical imaging
civil engineering
mechanical engineering
architecture
computer graphics
game development
Sound wave of a guitar chord
(A- C#-E)
Full transcript