This course on Trigonometry aims to help learners understand angles, right triangle trigonometry, laws of sines and cosines, trigonometric functions and identities, graphs of trigonometric functions, inverse trigonometric functions, solving trigonometric equations, modeling with trigonometry, polar coordinates, complex numbers in polar form, DeMoivre's Theorem, sequences, series, arithmetic and geometric series, and mathematical induction. The course teaches skills such as solving trigonometric equations, using trigonometric identities, graphing trigonometric functions, and applying trigonometry in modeling. The teaching method includes lectures, problem-solving exercises, and possibly interactive activities. This course is intended for individuals interested in gaining a comprehensive understanding of trigonometry and its applications.
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
