Mô tả

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

  • Complex numbers, including polar forms and De Moivre's Theorem

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

  • Partial fractions, distinct and repeated, linear and quadratic factors

  • Conic sections and analytic geometry of circles, ellipses, parabolas, and hyperbolas

  • Parametric curves and how to sketch their graphs



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 :)



Bạn sẽ học được gì

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 curves, including converting coordinates and graphing polar curves

Complex numbers, including polar forms and De Moivre's theorem

Matrices, including solving systems, Gauss-Jordan elimination, and transformations and inverses

Partial fractions, including fraction decomposition for all factor types

Conic sections and analytic geometry, including rotating conics and polar equations of conics

Parametric curves, including finding the direction of the parameter and the parametric representation

Yêu cầu

  • 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.

Nội dung khoá học

18 sections

Getting started

4 lectures
What we'll learn in Trigonometry
05:43
How to get the most out of this course
01:27
Download the Trigonometry formula sheet
00:19
The EVERYTHING download
00:24

Angles

21 lectures
Introduction to angles
01:01
RESOURCE: Quiz solutions for this section
00:17
Naming angles
00:00
Naming angles
08:24
Naming angles
3 questions
Complementary and supplementary angles
Processing..
Complementary and supplementary angles
05:03
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
Processing..
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
09:20
Coterminal angles
3 questions
BONUS! Extra practice problems. :)
00:26

The six trig functions

21 lectures
Introduction to the six trig functions
01:31
RESOURCE: Quiz solutions for this section
00:17
Sine, cosine, and tangent
Processing..
Sine, cosine, and tangent
10:52
Sine, cosine, and tangent
3 questions
Cosecant, secant, cotangent, and the reciprocal identities
Processing..
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
Processing..
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

33 lectures
Introduction to the unit circle
00:59
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

18 lectures
Introduction to angles in circles
00:59
RESOURCE: Quiz solutions for this section
00:17
Radians and arc length
Processing..
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 trig functions

24 lectures
Introduction to graphing trig functions
01:01
RESOURCE: Quiz solutions for this section
00:17
Sketching sine and cosine
Processing..
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
Processing..
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

12 lectures
Introduction to inverse trig functions
01:22
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
Processing..
Inverse trig functions
08:03
Inverse trig functions
3 questions
Trig functions of inverse trig functions
Processing..
Trig functions of inverse trig functions
08:07
Trig functions of inverse trig functions
3 questions
BONUS! Extra practice problems. :)
00:26

Trig identities

30 lectures
Introduction to trig identities
01:37
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
Processing..
Double-angle identities
09:19
Double-angle identities
3 questions
Half-angle identities
Processing..
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

18 lectures
Introduction to the law of sines and law of cosines
00:56
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
Processing..
Area from the law of sines
07:32
Area from the law of sines
3 questions
Law of cosines
Processing..
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

3 lectures
Practice final exam #1 (optional)
00:37
Practice final exam #2 (optional)
00:37
Trigonometry final exam
00:32

Onward to Precalculus!

2 lectures
What we'll learn in Precalculus
05:25
Download the Precalculus formula sheet
00:19

Polar curves

33 lectures
Introduction to polar curves
01:14
RESOURCE: Quiz solutions for this section
00:17
Polar coordinates
Processing..
Polar coordinates
16:39
Polar coordinates
3 questions
Multiple ways to express polar points
Processing..
Multiple ways to express polar points
11:58
Multiple ways to express polar points
3 questions
Converting equations
Processing..
Converting equations
11:17
Converting equations
3 questions
Graphing polar curves in a rectangular system
Processing..
Graphing polar curves in a rectangular system
28:50
Graphing polar curves in a rectangular system
3 questions
Graphing circles
Processing..
Graphing circles
16:40
Graphing circles
3 questions
Graphing roses
Processing..
Graphing roses
22:05
Graphing roses
3 questions
Graphing cardioids
Processing..
Graphing cardioids
12:37
Graphing cardioids
3 questions
Graphing limaçons
Processing..
Graphing limaçons
11:59
Graphing limaçons
3 questions
Graphing lemniscates
Processing..
Graphing lemniscates
07:37
Graphing lemniscates
3 questions
Intersection of polar curves
Processing..
Intersection of polar curves
18:17
Intersection of polar curves
3 questions
BONUS! Extra practice problems. :)
00:26

Complex numbers

30 lectures
Introduction to complex numbers
00:50
RESOURCE: Quiz solutions for this section
00:17
Complex numbers
Processing..
Complex numbers
09:40
Complex numbers
3 questions
Complex number operations
Processing..
Complex number operations
14:44
Complex number operations
3 questions
Graphing complex numbers
Processing..
Graphing complex numbers
05:04
Graphing complex numbers
3 questions
Distances and midpoints
Processing..
Distances and midpoints
10:36
Distances and midpoints
3 questions
Complex numbers in polar form
Processing..
Complex numbers in polar form
10:02
Complex numbers in polar form
3 questions
Multiplying and dividing polar forms
Processing..
Multiplying and dividing polar forms
12:44
Multiplying and dividing polar forms
3 questions
Powers of complex numbers and De Moivre's Theorem
Processing..
Powers of complex numbers and De Moivre's Theorem
07:43
Powers of complex numbers and De Moivre's Theorem
3 questions
Complex number equations
Processing..
Complex number equations
12:45
Complex number equations
3 questions
Roots of complex numbers
Processing..
Roots of complex numbers
11:39
Roots of complex numbers
3 questions
BONUS! Extra practice problems. :)
00:26

Matrices

39 lectures
Introduction to matrices
00:53
RESOURCE: Quiz solutions for this section
00:16
Matrix dimensions and entries
Processing..
Matrix dimensions and entries
06:03
Matrix dimensions and entries
3 questions
Representing systems with matrices
Processing..
Representing systems with matrices
09:51
Representing systems with matrices
3 questions
Simple row operations
Processing..
Simple row operations
08:14
Simple row operations
3 questions
Gauss-Jordan elimination and reduced row-echelon form
Processing..
Gauss-Jordan elimination and reduced row-echelon form
18:32
Gauss-Jordan elimination and reduced row-echelon form
3 questions
Matrix addition and subtraction
Processing..
Matrix addition and subtraction
10:38
Matrix addition and subtraction
3 questions
Scalar multiplication and zero matrices
Processing..
Scalar multiplication and zero matrices
07:57
Scalar multiplication and zero matrices
3 questions
Matrix multiplication
Processing..
Matrix multiplication
14:00
Matrix multiplication
3 questions
Identity matrices
Processing..
Identity matrices
09:47
Identity matrices
3 questions
Transformations
Processing..
Transformations
10:16
Transformations
3 questions
Matrix inverses, and invertible and singular matrices
Processing..
Matrix inverses, and invertible and singular matrices
12:02
Matrix inverses, and invertible and singular matrices
3 questions
Solving systems with inverse matrices
Processing..
Solving systems with inverse matrices
10:47
Solving systems with inverse matrices
3 questions
Solving systems with Cramer's Rule
Processing..
Solving systems with Cramer's Rule
05:31
Solving systems with Cramer's Rule
3 questions
BONUS! Extra practice problems. :)
00:26

Partial fractions

21 lectures
Introduction to partial fractions
01:10
RESOURCE: Quiz solutions for this section
00:17
Fraction decomposition
Processing..
Fraction decomposition
20:05
Fraction decomposition
3 questions
Distinct linear factors
Processing..
Distinct linear factors
18:52
Distinct linear factors
3 questions
Repeated linear factors
Processing..
Repeated linear factors
24:25
Repeated linear factors
3 questions
Distinct quadratic factors
Processing..
Distinct quadratic factors
13:40
Distinct quadratic factors
3 questions
Repeated quadratic factors
Processing..
Repeated quadratic factors
12:03
Repeated quadratic factors
3 questions
Mixed factors
Processing..
Mixed factors
22:14
Mixed factors
3 questions
BONUS! Extra practice problems. :)
00:26

Conic sections and analytic geometry

24 lectures
Introduction to conic sections and analytic geometry
00:48
RESOURCE: Quiz solutions for this section
00:17
Identifying conic sections
Processing..
Identifying conic sections
09:55
Identifying conic sections
3 questions
Circles
Processing..
Circles
17:10
Circles
3 questions
Ellipses
Processing..
Ellipses
31:14
Ellipses
3 questions
Parabolas
Processing..
Parabolas
16:02
Parabolas
3 questions
Hyperbolas
Processing..
Hyperbolas
12:12
Hyperbolas
3 questions
Rotating axes
Processing..
Rotating axes
32:49
Rotating axes
3 questions
Polar equations of conics
Processing..
Polar equations of conics
12:22
Polar equations of conics
3 questions
BONUS! Extra practice problems. :)
00:26

Parametric curves

12 lectures
Introduction to parametric curves
01:17
RESOURCE: Quiz solutions for this section
00:17
Parametric curves and eliminating the parameter
Processing..
Parametric curves and eliminating the parameter
11:21
Parametric curves and eliminating the parameter
3 questions
Direction of the parameter
Processing..
Direction of the parameter
11:13
Direction of the parameter
3 questions
Finding the parametric representation
Processing..
Finding the parametric representation
08:46
Finding the parametric representation
3 questions
BONUS! Extra practice problems. :)
00:26

Final exam and wrap-up

4 lectures
Practice final exam #1 (optional)
00:38
Practice final exam #2 (optional)
00:38
Precalculus final exam
00:32
Wrap-up
00:25

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