Chapter 7: Circular Functions

• $\mathbf{\text{Transformations of Graphs}}$
• $$\mathbf{\text{The General Sinusoidal Function}}$$
• $\mathbf{\text{Solving Equations}}$

Musical instruments produce sound by the vibration of a string on a violin, guitar, or piano, or a column of air in a brass or woodwind instrument. The vibration causes a periodic variation in air pressure that is heard as sound. Periodic vibrations create a pleasing, musical sound, while random vibrations sound like noise.

There are three distinguishing characteristics of musical notes: loudness, pitch, and timbre.