Trigonometry & Pre-Calculus

Trigonometric functions, identities, applications, polar/parametric systems, and a bridge to calculus. Mapped to OpenStax Precalculus 2e by Jay Abramson (free textbook).

Course Overview

Textbook

OpenStax Precalculus 2e (Jay Abramson)

Chapters

8 (trig-specific + limits preview)

Sections

~35

Prerequisites

College Algebra

Target

Foundation for Calculus I

Status

Not Started

Chapter Progress

Ch Title Sections Status

1

Trigonometric Functions

6

[ ] Not Started

2

Graphs of Trigonometric Functions

5

[ ] Not Started

3

Trigonometric Identities

5

[ ] Not Started

4

Trigonometric Equations

4

[ ] Not Started

5

Applications of Trigonometry

5

[ ] Not Started

6

Polar & Parametric Equations

4

[ ] Not Started

7

Conic Sections in Polar Form

3

[ ] Not Started

8

Introduction to Limits

3

[ ] Not Started

Total: ~35 sections

Quick Reference

Formula Reference Card — All key trig formulas in one page.

Study Approach

  1. Read the textbook section

  2. Work through examples by hand

  3. Memorize the unit circle and key identities

  4. Complete practice problems

  5. Write summary observations

Why This Course

Trigonometry is the gateway between algebra and calculus:

  • Calculus — derivatives and integrals of trig functions are fundamental

  • Signal Processing — sine/cosine waves, Fourier analysis

  • Physics — vectors, projectile motion, oscillation

  • Networking — RF/wireless engineering, antenna theory

  • Cryptography — elliptic curves use trig geometry

Master trig and limits, and Calculus I becomes approachable.