Unit 8

Advanced Trigonometry and Vectors

Apply the Law of Sines and Law of Cosines. Work with vectors, polar coordinates, and parametric equations.

Unit 8 · 10 pages

Lessons

Unit overview, essential questions, learning objectives, and vocabulary list for Unit 8 Applications of Trigonometry.

Apply the Law of Sines to solve AAS, ASA, and SSA triangles; identify the ambiguous case.

Apply the Law of Cosines to solve SAS and SSS triangles; find area using Heron's Formula.

Convert between polar and rectangular coordinates; plot points and equations in the polar coordinate system.

Graph polar equations including circles, limaçons, rose curves, and lemniscates.

Convert complex numbers to polar form, multiply/divide using moduli and arguments, apply De Moivre's Theorem.

Define parametric equations, eliminate the parameter to find rectangular form, and sketch parametric curves.

Graph parametric curves, model projectile motion, and apply parametric equations to real-world problems.

Represent vectors in component form, find magnitude and direction, add vectors, and compute dot products.

Consolidate your understanding of the Laws of Sines and Cosines, polar coordinates, parametric equations, and vectors.