This course on Trigonometry aims to introduce students to various concepts such as angles, the unit circle, right triangle trigonometry, trigonometric identities, graphing trigonometric functions, inverse trigonometric functions, and solving right triangles. Students will learn how to measure angles, work with special triangles, evaluate trigonometric functions, graph sine, cosine, tangent, cotangent, secant, and cosecant functions, and solve trigonometric word problems. The teaching method includes preclass videos covering different topics related to trigonometry. This course is intended for students studying precalculus or trigonometry.
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
