Further Applications of Trigonometry
Extend trigonometry beyond right triangles — Law of Sines, Law of Cosines, polar coordinates, complex numbers in polar form, parametric equations, and vectors.
Estimated Time
4–5 weeks
Difficulty
Advanced
Overview
Unit description, learning objectives, and skills.
Unit 8 — Further Applications of Trigonometry is the most expansive unit of the trig sequence. You will solve oblique triangles using the Law of Sines and Cosines, navigate the polar coordinate plane, write complex numbers in polar form, model motion with parametric equations, and analyze forces and velocities using vectors.
Learning Objectives
By the end of this unit, you will be able to:
Skills You Will Master
Real-World Connection
Unit 8 is where trigonometry meets the physical world at full scale. Surveyors use the Law of Cosines to calculate distances across terrain. Pilots and sailors use vectors to account for wind and current when navigating. Electrical engineers use polar form of complex numbers to analyze AC circuits. Physicists use parametric equations to model projectile trajectories. Polar coordinates are the natural language of radar systems and orbital mechanics. Every concept in this unit has a direct engineering or scientific application.
Chapter Checklist
Recommended steps for completing each chapter
- Read the Workbook
- Complete the Independent Study
- Finish the Exit Ticket
- Take the Quiz
- Review the Answer Key
- Continue to the Next Chapter