2.1 Graphs of Sine and Cosine

OpenStax Precalculus 2e — Chapter 6, Section 6.1

Learning Objectives

  • Identify amplitude, period, phase shift, and vertical shift from \(y = A\sin(B(x - C)) + D\)

  • Graph sine and cosine functions by hand using key points (intercepts, max, min)

  • Determine the equation of a sinusoidal function from its graph

  • Relate period to frequency: \(f = \frac{1}{T}\)

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.