Become a Trigonometry & Precalculus Master
4.6 (1,563 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
19,538 students enrolled

Become a Trigonometry & Precalculus Master

Learn everything from Trigonometry and Precalculus, then test your knowledge with 470+ practice questions
Bestseller
4.6 (1,563 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
19,538 students enrolled
Created by Krista King
Last updated 8/2020
English
English [Auto], French [Auto]
Current price: $139.99 Original price: $199.99 Discount: 30% off
5 hours left at this price!
30-Day Money-Back Guarantee
This course includes
  • 15 hours on-demand video
  • 130 articles
  • 209 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
Training 5 or more people?

Get your team access to 4,000+ top Udemy courses anytime, anywhere.

Try Udemy for Business
What you'll learn
  • 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
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.
  • We'll start the course by talking about angles, so if you know some algebra and geometry basics, you'll be well-prepared for the course.
Description

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 :)



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
Course content
Expand all 232 lectures 15:12:25
+ Angles
15 lectures 57:15
Introduction to angles and their measure
00:00
RESOURCE: Quiz solutions for this section
00:17
Naming angles
00:00
Naming angles
08:24
Naming angles
3 questions
Complementary and supplementary angles
00:00
Complementary and supplementary angles
3 questions
Positive and negative angles
00:00
Positive and negative angles
05:18
Positive and negative angles
3 questions
Quadrant of the angle
00:00
Quadrant of the angle
13:15
Quadrant of the angle
3 questions
Degrees, radians, and DMS
00:00
Degrees, radians, and DMS
15:10
Degrees, radians, and DMS
3 questions
Coterminal angles
00:00
Coterminal angles
3 questions
BONUS! Extra practice problems. :)
00:26
+ The six trig functions
15 lectures 01:02:52
Introduction to six circular functions
00:00
RESOURCE: Quiz solutions for this section
00:17
Sine, cosine, and tangent
00:00
Sine, cosine, and tangent
10:52
Sine, cosine, and tangent
3 questions
Cosecant, secant, cotangent, and the reciprocal identities
00:00
Cosecant, secant, cotangent, and the reciprocal identities
07:39
Cosecant, secant, cotangent, and the reciprocal identities
3 questions
The quotient identities
00:00
The quotient identities
09:07
The quotient identities
3 questions
The Pythagorean identities
00:00
The Pythagorean identities
17:01
The Pythagorean identities
3 questions
Signs by quadrant
00:00
Signs by quadrant
10:39
Signs by quadrant
3 questions
When the trig functions are undefined
00:00
When the trig functions are undefined
06:49
When the trig functions are undefined
3 questions
BONUS! Extra practice problems. :)
00:26
+ The unit circle
23 lectures 01:46:29
Introduction to the unit circle
00:00
RESOURCE: Quiz solutions for this section
00:17
The unit circle
00:00
The unit circle
13:27
The unit circle
3 questions
Negative angles and angles more than one rotation
00:00
Negative angles and angles more than one rotation
10:23
Negative angles and angles more than one rotation
3 questions
Coterminal angles in a particular interval
00:00
Coterminal angles in a particular interval
11:36
Coterminal angles in a particular interval
3 questions
Reference angles
00:00
Reference angles
08:37
Reference angles
3 questions
Symmetry across axes
00:00
Symmetry across axes
08:07
Symmetry across axes
3 questions
Even-odd identities
00:00
Even-odd identities
12:13
Even-odd identities
3 questions
The set of all possible angles
00:00
The set of all possible angles
10:26
The set of all possible angles
3 questions
Points not on the unit circle
00:00
Points not on the unit circle
12:44
Points not on the unit circle
3 questions
Solving right triangles
00:00
Solving right triangles
07:43
Solving right triangles
3 questions
Angles of elevation and depression
00:00
Angles of elevation and depression
10:28
Angles of elevation and depression
3 questions
BONUS! Extra practice problems. :)
00:26
+ Angles in circles
13 lectures 34:51
Introduction to angles in circles
00:00
RESOURCE: Quiz solutions for this section
00:17
Radians and arc length
00:00
Radians and arc length
06:11
Radians and arc length
3 questions
Area of a circular sector
00:00
Area of a circular sector
07:49
Area of a circular sector
3 questions
Trig functions of real numbers
00:00
Trig functions of real numbers
04:44
Trig functions of real numbers
3 questions
Linear and angular velocity
00:00
Linear and angular velocity
07:15
Linear and angular velocity
3 questions
Relating linear and angular velocity
00:00
Relating linear and angular velocity
08:08
Relating linear and angular velocity
3 questions
BONUS! Extra practice problems. :)
00:26
+ Graphing the trig functions
17 lectures 01:21:48
Introduction to graphing the trig functions
00:00
RESOURCE: Quiz solutions for this section
00:17
Sketching sine and cosine
00:00
Sketching sine and cosine
16:55
Sketching sine and cosine
3 questions
Sketching cosecant and secant
00:00
Sketching cosecant and secant
06:04
Sketching cosecant and secant
3 questions
Period and amplitude
00:00
Period and amplitude
14:29
Period and amplitude
3 questions
Sketching tangent and cotangent
00:00
Sketching tangent and cotangent
10:24
Sketching tangent and cotangent
3 questions
Horizontal and vertical shifts
00:00
Horizontal and vertical shifts
10:45
Horizontal and vertical shifts
3 questions
Graphing transformations
00:00
Graphing transformations
14:44
Graphing transformations
3 questions
Graphing combinations
00:00
Graphing combinations
07:42
Graphing combinations
3 questions
BONUS! Extra practice problems. :)
00:26
+ Inverse trig functions
9 lectures 26:45
Introduction to inverse trig functions
00:00
RESOURCE: Quiz solutions for this section
00:17
Inverse trig relations
00:00
Inverse trig relations
09:51
Inverse trig relations
3 questions
Inverse trig functions
00:00
Inverse trig functions
08:03
Inverse trig functions
3 questions
Trig functions of inverse trig functions
00:00
Trig functions of inverse trig functions
08:07
Trig functions of inverse trig functions
3 questions
BONUS! Extra practice problems. :)
00:26
+ Trig identities
21 lectures 01:09:57
Introduction to trig identities
00:00
RESOURCE: Quiz solutions for this section
00:17
Sum-difference identities for sine and cosine
00:00
Sum-difference identities for sine and cosine
05:43
Sum-difference identities for sine and cosine
3 questions
Cofunction identities
00:00
Cofunction identities
05:43
Cofunction identities
3 questions
Sum-difference identities for tangent
00:00
Sum-difference identities for tangent
04:07
Sum-difference identities for tangent
3 questions
Double-angle identities
00:00
Double-angle identities
09:19
Double-angle identities
3 questions
Half-angle identities
00:00
Half-angle identities
10:04
Half-angle identities
3 questions
Product-to-sum identities
00:00
Product-to-sum identities
06:14
Product-to-sum identities
3 questions
Sum-to-product identities
00:00
Sum-to-product identities
06:37
Sum-to-product identities
3 questions
Proving the trig equation
00:00
Proving the trig equation
13:47
Proving the trig equation
3 questions
Complete solution set of the equation
00:00
Complete solution set of the equation
07:38
Complete solution set of the equation
3 questions
BONUS! Extra practice problems. :)
00:26
+ The law of sines and law of cosines
13 lectures 47:00
Introduction to the laws of sine and cosine
00:00
RESOURCE: Quiz solutions for this section
00:17
Law of sines
00:00
Law of sines
09:51
Law of sines
3 questions
The ambiguous case of the law of sines
00:00
The ambiguous case of the law of sines
12:04
The ambiguous case of the law of sines
3 questions
Area from the law of sines
00:00
Area from the law of sines
07:32
Area from the law of sines
3 questions
Law of cosines
00:00
Law of cosines
13:39
Law of cosines
3 questions
Heron's formula
00:00
Heron's formula
03:09
Heron's formula
3 questions
BONUS! Extra practice problems. :)
00:26
+ Final exam
1 lecture 00:32
Trigonometry final exam
00:32