Trigonometric Synthesis and Periodic Motion · Geometry & Measurement

Harmonic Motion Modeling

Applying sine and cosine functions to model sound waves, tides, and pendulums.

Key Questions

  1. 1How do changes in amplitude and period affect the physical perception of a sound wave?
  2. 2Why do we use phase shifts to model seasonal changes in daylight hours?
  3. 3How can multiple trigonometric functions be combined to model complex interference patterns?

Common Core State Standards

CCSS.Math.Content.HSF.TF.B.5CCSS.Math.Content.HSF.IF.C.7.e
Grade: 12th Grade
Subject: Mathematics
Unit: Trigonometric Synthesis and Periodic Motion
Period: Geometry & Measurement

Suggested Methodologies

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