Dive into a comprehensive series of precalculus videos focusing on trigonometry. Explore fundamental concepts including angles, the unit circle, right triangle trigonometry, trigonometric functions and their graphs, inverse trigonometric functions, and practical applications. Learn to measure and convert angles, work with special coordinates on the unit circle, evaluate trigonometric functions, graph sine, cosine, tangent, cotangent, secant, and cosecant functions, and solve right triangles. Master transformations of trigonometric graphs, understand reference angles, and apply trigonometric concepts to word problems and simple harmonic motion. Enhance your mathematical foundation with this thorough introduction to trigonometry, preparing you for advanced mathematical studies.
Overview
Syllabus
Introduction to Trigonometry.
4.1 - Video 1 - Angles.
4.1 - Video 2 - Measuring Angles.
4.1 - Video 3 - Angle Conversions.
4.2 - Video 1 - The Unit Circle.
4.2 - Video 2 - Special Coordinates on the Unit Circle.
4.2 - Video 3 - Applications of the Unit Circle.
4.3 - Video 1 - Introduction to Right Triangle Trigonometry.
4.3 - Video 2 - Special Triangles.
4.3 - Video 3 - Basic Trigonometric Identities.
4.4 - Video 1 - Evaluating Trigonometric Functions from Points.
4.4 - Video 2 - Reference Angles.
4.4 - Video 3 - Calculating Trigonometric Functions Algebraically.
4.5a - Video 1 - The Sine and Cosine Graphs.
4.5a - Video 2 - Transformations of the Sine and Cosine Graphs.
4.5a - Video 3 - The Fundamental Period.
4.5b - Video 1 - Graphing by Key Values.
4.5b - Video 2 - Examples of Graphing by Key Values.
4.5b - Video 3 - Transformations of Graphs.
4.6 - Video 1 - Graphing the Tangent Function.
4.6 - Video 2 - Graphing the Cotangent Function.
4.6 - Video 3 - Graphing the Secant and Cosecant Functions.
4.7 - Video 1 - Inverses of Functions.
4.7 - Video 2 - Inverse Trigonometric Functions.
4.7 - Video 3 - Geometric Interpretations of Inverse Trigonometric Functions.
4.8 - Video 1 - Solving Right Triangles.
4.8 - Video 2 - Trigonometric Word Problem Preparation.
4.8 - Video 3 - Trigonometric Word Problem Example.
4.8 - Video 4 - Introduction to Simple Harmonic Motion.
Taught by
The Math Repository
