CLEP Precalculus

CLEP Precalculus covers essential mathematical concepts and skills necessary for success in calculus and higher-level mathematics.

Practical Applications

Analyzing Sound Waves

Math in Music and Audio

Trigonometric functions are at the heart of sound waves. Sine and cosine functions can describe the pitch, volume, and timbre of every note you hear.

The Sound Equation

A sound wave can be modeled as \( y = A\sin(Bt + C) \), where \( A \) is amplitude, \( B \) relates to frequency, and \( C \) is phase.

How It’s Used

Audio engineers use these equations to mix music, reduce noise, and even create digital instruments.

Examples

  • Modeling a musical note as \( y = 2\sin(440\pi t) \).

  • Using trigonometric graphs to design headphones that reduce unwanted sounds.