Trigonometry

This course develops trigonometry from angles and right-triangle relationships through trigonometric functions, graphs, identities, equations, and modeling. It also covers polar coordinates, complex numbers, sequences, series, and mathematical induction.

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.