### MAT2100: Trigonometry

05/01/2023 to 04/30/2024 • Modified 06/08/2023

### Course Description

This semester-long course is designed to take the student through a basic review of algebra and applicable geometry and present a detailed study of trigonometric identities. The student will study topics on graphs and functions, the law of sines and law of cosines, vectors, complex numbers, and polar coordinates. The student will explore conic sections, exponential and logarithmic functions, and inverse trigonometric functions. The subject matter will be presented through video lectures and daily practice, and students will view mathematical principles in the light of biblical truth.

#### Prerequisite

Algebra II and Geometry

### Schedule

Module 1: Polynomials, Equations, & Functions

• Week 1: Exponents & Roots
• Week 2: Factoring Polynomials
• Week 3: Rational Expressions & Solving Equations
• Week 4: Functions

Module 2: Inverse Functions, Angles, & the Unit Circle

• Week 5: Transforming Functions, Combining Functions, & Inverse Functions
• Week 6: Angles & Circles
• Week 7: The Unit Circle & Graphing Sine & Cosine
• Week 8: The Other Trigonometric Functions
• Week 9: Inverse Trigonometric Functions

Module 3: Right Triangle Trigonometry & Trigonometric Identities

• Week 10: Right Triangle Trigonometry
• Week 11: The Trigonometric Identities
• Week 12: The Sum, Difference, Double-Angle & Half-Angle Formulas

Module 4: Law of Sines & Cosines, & Vectors

• Week 13: The Law of Sines & the Law of Cosines
• Week 14: Vectors
• Week 15: Complex Zeros & Trigonometric Form of Complex Numbers
• Week 16: Polar Coordinates, Polar Equations, & Parametric Equations

Module 5: Conics

• Week 17: Conic Sections
• Week 18: Review & Quarter Exam

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