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Become a Trigonometry & Precalculus Master Course Catalog

Learn everything from Trigonometry and Precalculus, then test your knowledge with 470+ practice questions

What you’ll learn

Angles and their measure, including degrees, DMS and radians
Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity
Six circular functions, including sine, cosine, tangent, cosecant, secant, and cotangent
The law of sines and the law of cosines, including Heron’s formula
The unit circle, including finding sine and cosine, and how to complete a triangle
Graphing the trig functions, including sine and cosine graphs, and transformations
Trig identities, including even-odd, sum-difference, half-angle, double-angle, product-to-sum, and sum-to-product identities
Inverse trig functions, including their graphs
Polar coordinates, including converting coordinates and equations
Graphing polar curves, including circles, roses, cardioids, limacons, and lemniscates
Parametric curves, including converting and sketching parametric curves
Analytic geometry, including conic sections like circles, ellipses, parabolas, and hyperbolas
Complex numbers, including polar forms and De Moivre’s theorem
Matrices, including solving systems, Gauss-Jordan elimination, and transformations and inverses

Requirements

You should be comfortable with the Fundamentals of Math.
You should be comfortable with basic Algebra, like equation solving.
A little Geometry is helpful, but not absolutely necessary.

Description

HOW to BECOME A TRIGONOMETRY & PRECALCULUS MASTER IS SET UP TO MAKE COMPLICATED MATH EASY:

This 302-lesson course includes video and text explanations of everything from Trigonometry and Precalculus, and it includes 89 quizzes (with solutions!) and an additional 10 workbooks with extra practice problems, to help you test your understanding along the way. Become a Trigonometry & Precalculus Master is organized into the following sections:

Angles and their measure, including degrees, DMS, and radians
Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity
The six circular functions, which are sine, cosine, tangent, cosecant, secant, and tangent
The laws of sine and cosine, including Heron’s formula
The unit circle, and how to use it to complete a triangle
Graphing the trig functions using period and amplitude, horizontal and vertical shifts, and other transformations
Trig identities like even-odd, sum-difference, double-angle, half-angle, product-to-sum, and sum-to-product
Inverse trig functions and their graphs
Polar coordinates and graphing polar curves
Parametric curves and how to sketch their graphs
Analytic geometry of conic sections like circles, ellipses, parabolas, and hyperbolas
Complex numbers, including polar forms and De Moivre’s theorem

Matrices for solving systems, Gauss-Jordan elimination, transformations, and inverse matrices

AND HERE’S WHAT YOU GET INSIDE OF EVERY SECTION:

Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning…
I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you’ve finished the section, you can review everything you’ve learned by working through the bonus workbook.

Who this course is for:

Current trigonometry or precalculus students, or students about to start trigonometry or precalculus who are looking to get ahead
Homeschool parents looking for extra support with trigonometry or precalculus
Anyone who wants to study math for fun after being away from school for a while
Last updated 3/2020
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