Explore the fundamentals of trigonometry in this comprehensive 10-hour course. Begin with angles and right triangle trigonometry before progressing to advanced concepts such as the Laws of Sines and Cosines. Learn about points on a circle, various trigonometric functions, and their graphs. Delve into inverse trigonometric functions, solving equations, and modeling real-world scenarios. Master trigonometric identities and proofs, and discover polar coordinates and complex numbers. Conclude with an introduction to sequences and series, including arithmetic and geometric progressions, and mathematical induction.
Overview
Syllabus
5.1 Angles.
5.2 Right Triangle Trig.
5.3a Law of Sines.
5.3b Law of Cosines.
5.4 Points on a Circle.
5.5a Other Trig Functions.
5.5b Introduction to Identities.
5.6a Graphs of sinx and cosx.
5.6b Graph of tan, cot, sec, csc.
5.7 Inverse Trig Functions.
6.1 Solve Trig Equations.
6.2 Modeling with Trig.
6.3 Solve Trig Equations with Identities.
6.4 Finding New Identities.
6.4a More Identities.
6.4b Using Identities.
6.5 Finding New Identities.
6.5 More Identities.
6.6a Review Trig Equations.
6.6b Review Trig Proofs.
7.1 Polar Coordinates.
7.2 Polar Form of Complex Numbers.
7.3 DeMoivre's Theorem.
8.1 Sequences.
8.2 Series.
8.3 Arithmetic Series.
8.4 Geometric Series.
8.5 Mathematical Induction.
Taught by
Tyler Wallace
