M1432 Trigonometry and Precalculus
Ch 1 - Intro to Trignometry
1.1 Angles, Degrees, Minutes, and Seconds
1.2 Review of Angle Relationships and Similar Triangles
1.3 Introduction to Trigonometric Functions and Quadrantal Angles
1.4 Basic Trigonometric Identities
Ch 2 - Right Triangle Trigonometry
2.1 Right Triangle Definitions of Trigonometric Functions
2.2 Reference Angles and Non Acute Angles
2.3 Approximating Values of Trigonometric Functions
2.4 Significant Digits and Angles of Elevation or Depression
2.4 Significant Digits and Angles of Elevation or Depression
Ch 3 - Radians and the Unit Circle
3.1 Intro to Radians
3.2 Arc Length and the Area of a Sector of a Circle
3.3 The Unit Circle and Values of Circular Functions
3.5 Linear and Angular Speed
Ch 4 - Graphs of Trigonometric Functions
4.1 Introduction to the Graphs of Sine and Cosine
4.2 Translations of the Sine and Cosine Graphs
4.3 The Graphs of Tangent and Cotangent
4.4 The Graphs of Secant and Cosecant
Ch 5 - Trigonometric Identities
5.1 The Fundamental Trigonometric Identities
5.2 Verifying Trigonometric Identities
5.3 The Sum and Difference Cosine Identities
5.4 The Sum and Difference Identities for Sine and Tangent
5.5 Doulbe-Angle Identities and Product-to-Sum Identities
5.6 Half-Angle Identities and a Review of All the Identities
Ch 6 - Inverse Trig Functions and Solving Trigonometric Equations
6.1 Inverse Trigonometric Functions and their Graphs
6.2 Solving Trigonometric Equations with Linear and Quadratic Methods
6.3 Solving Trigonometric Equations with Half-Angles or Multiple Angles
6.4 Solving Equations with Inverse Trigonometric Functions
Ch 7 - The Law of Sines, the Law of Cosines, and Vectors
7.1 The Law of Sines and Applications
7.2 The Ambiguous Case of the Law of Sines
7.3 The Law of Cosines
7.4 Introduction to Vectors and Applications of Vectors
7.5 The Algebra of Vectors and The Dot Product
Ch 8 - Complex Nubmers and Polar Coordinate Systems
8.1 A Review of a Imaginary Numbers
8.2 The Polar Form of Complex Numbers
8.3 The Product and Quotient Theorems
8.4 De Moivre's Theorem and Powers and Roots of Complex Numbers
8.5 Polar Coordinate Systems and Graphing