Chapter 8: Further Applications of Trigonometry
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Course: MATH 142 (Precalculus II)
Overview
This chapter extends trigonometry to triangles, polar coordinates, parametric equations, and vectors. These topics connect directly to calculus content in MATH 163.
Source Material: OpenStax Precalculus Chapter 8 (CC BY 4.0)
Sections
| Section | Topic | Skills |
|---|---|---|
| 8.1 | Non-right Triangles: Law of Sines | Law of sines, ambiguous case |
| 8.2 | Non-right Triangles: Law of Cosines | Law of cosines, area |
| 8.3 | Polar Coordinates | Converting coordinates |
| 8.4 | Polar Coordinates: Graphs | Graphing polar equations |
| 8.5 | Polar Form of Complex Numbers | De Moivre’s theorem |
| 8.6 | Parametric Equations | Parametric representation |
| 8.7 | Parametric Equations: Graphs | Graphing parametric curves |
| 8.8 | Vectors | Vector operations, dot product |
Skills in This Chapter
What This Unlocks
Mastering these applications prepares you for:
- Stewart 10.1-10.4: Parametric equations and polar coordinates (MATH 163)
- Stewart 12.1-12.4: Vectors in space
- Stewart 13.1-13.4: Vector functions and motion
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|---|---|---|
| Chapter 7 | Precalculus | Chapter 9 |