3.1 Fundamental Identities

OpenStax Precalculus 2e — Chapter 7, Section 7.1

Learning Objectives

  • State all reciprocal identities from memory

  • State the quotient identities for \(\tan\theta\) and \(\cot\theta\)

  • Derive the three Pythagorean identities from \(\sin^2\theta + \cos^2\theta = 1\)

  • Simplify trig expressions using fundamental identities

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.