Course Overview

Trigonometry

1. Study of rectangular coordinate system and angles.
2. Introducing trigonometric functions and basic identities.
3. Right triangle trigonometry, trigonometric functions of acute and non-acute angles.
4. Solving right triangles with applications.
5. Introducing radian measure, arc length, and area of a sector.
6. Unit circle with circular functions with introduction to linear and angular speed.
7. Basic graphs of trigonometric functions, amplitude, reflection, period, vertical translation, and phase shift.
8. Identities, proving identities, sum and difference, double angle, and half-angle formulas.
9. Inverse circular functions, solving trigonometric equations.
10. Law of sines with ambiguous case, law of cosines.
11. Introduction to vectors, operation with vectors, dot product, with applications of vectors.
12. Polar and parametric equations and graphs.
13. Complex numbers, trigonometric form for complex numbers.
14. Products & quotients of complex numbers in trigonometric form.
15. De Moivre's Theorem, powers and roots of complex numbers.