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Become a Trigonometry & Precalculus Master

Learn everything from Trigonometry and Precalculus, then test your knowledge with 470+ practice questions
Instructor:
Krista King
21,373 students enrolled
English [Auto] More
Angles and their measure, including degrees, DMS and radians
Six circular functions, including sine, cosine, tangent, cosecant, secant, and cotangent
The unit circle, including finding sine and cosine, and how to complete a triangle
Angles in circles, including oriented arcs, circular sectors, and linear and angular velocity
Graphing the trig functions, including sine and cosine graphs, and transformations
Inverse trig functions, including their graphs
Trig identities, including even-odd, sum-difference, half-angle, double-angle, product-to-sum, and sum-to-product identities
The law of sines and the law of cosines, including Heron's formula
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

HOW 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 an 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. The workbooks include tons of extra practice problems, so they’re a great way to solidify what you just learned in that section.


HERE’S WHAT SOME STUDENTS OF BECOME A TRIGONOMETRY & PRECALCULUS MASTER HAVE TOLD ME:

  • “Krista’s courses are the absolute best you can find online, as far as I’m concerned. I feel like I am actually learning something from them!” – Jon K.

  • “The Instructor has an excellent command of the subject material and a great way of presenting it. In addition to that, she has a very pleasant voice that keeps you attentive.” – Robert S.

  • “This is an excellent course to become more familiar with trigonometric equations. The step by step instruction is very is to follow. I found it very helpful to follow along with solving the problems on paper to solidify the learning experience.” – David M.

  • “Krista explains everything in “simplest terms” so even if you haven’t worked with this stuff for a while, she makes it totally easy to get back into the swing of it all. Thanks for (another) excellent course!” – Paul L.

  • “Huge help to be able to review these in a platform much more suited to learning than YouTube.” – Wesley F.

YOU’LL ALSO GET:

  • Lifetime access to Become a Trigonometry & Precalculus Master

  • Friendly support in the Q&A section

  • Udemy Certificate of Completion available for download

  • 30-day money back guarantee

Enroll today!

I can’t wait for you to get started on mastering trigonometry and precalculus.

– Krista 🙂

Getting started

1
Hi! START HERE: Course overview
2
Download the formula sheets
3
The EVERYTHING download

Angles

1
Introduction to angles
2
RESOURCE: Quiz solutions for this section
3
Naming angles
4
Naming angles
5
Naming angles
6
Complementary and supplementary angles
7
Complementary and supplementary angles
8
Complementary and supplementary angles
9
Positive and negative angles
10
Positive and negative angles
11
Positive and negative angles
12
Quadrant of the angle
13
Quadrant of the angle
14
Quadrant of the angle
15
Degrees, radians, and DMS
16
Degrees, radians, and DMS
17
Degrees, radians, and DMS
18
Coterminal angles
19
Coterminal angles
20
Coterminal angles
21
BONUS! Extra practice problems. :)

The six trig functions

1
Introduction to the six trig functions
2
RESOURCE: Quiz solutions for this section
3
Sine, cosine, and tangent
4
Sine, cosine, and tangent
5
Sine, cosine, and tangent
6
Cosecant, secant, cotangent, and the reciprocal identities
7
Cosecant, secant, cotangent, and the reciprocal identities
8
Cosecant, secant, cotangent, and the reciprocal identities
9
The quotient identities
10
The quotient identities
11
The quotient identities
12
The Pythagorean identities
13
The Pythagorean identities
14
The Pythagorean identities
15
Signs by quadrant
16
Signs by quadrant
17
Signs by quadrant
18
When the trig functions are undefined
19
When the trig functions are undefined
20
When the trig functions are undefined
21
BONUS! Extra practice problems. :)

The unit circle

1
Introduction to the unit circle
2
RESOURCE: Quiz solutions for this section
3
The unit circle
4
The unit circle
5
The unit circle
6
Negative angles and angles more than one rotation
7
Negative angles and angles more than one rotation
8
Negative angles and angles more than one rotation
9
Coterminal angles in a particular interval
10
Coterminal angles in a particular interval
11
Coterminal angles in a particular interval
12
Reference angles
13
Reference angles
14
Reference angles
15
Symmetry across axes
16
Symmetry across axes
17
Symmetry across axes
18
Even-odd identities
19
Even-odd identities
20
Even-odd identities
21
The set of all possible angles
22
The set of all possible angles
23
The set of all possible angles
24
Points not on the unit circle
25
Points not on the unit circle
26
Points not on the unit circle
27
Solving right triangles
28
Solving right triangles
29
Solving right triangles
30
Angles of elevation and depression
31
Angles of elevation and depression
32
Angles of elevation and depression
33
BONUS! Extra practice problems. :)

Angles in circles

1
Introduction to angles in circles
2
RESOURCE: Quiz solutions for this section
3
Radians and arc length
4
Radians and arc length
5
Radians and arc length
6
Area of a circular sector
7
Area of a circular sector
8
Area of a circular sector
9
Trig functions of real numbers
10
Trig functions of real numbers
11
Trig functions of real numbers
12
Linear and angular velocity
13
Linear and angular velocity
14
Linear and angular velocity
15
Relating linear and angular velocity
16
Relating linear and angular velocity
17
Relating linear and angular velocity
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15 hours on-demand video
125 articles
Full lifetime access
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Certificate of Completion