Become a Trigonometry Master

Learn everything from Trigonometry and Precalculus
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  • Lectures 60
  • Length 7 hours
  • Skill Level All Levels
  • Languages English
  • Includes Lifetime access
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    Available on iOS and Android
    Certificate of Completion
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About This Course

Published 3/2016 English

Course Description

HOW BECOME A TRIGONOMETRY MASTER IS SET UP TO MAKE COMPLICATED MATH EASY

This 60-lesson course includes video explanations of everything from Trigonometry and Precalculus. Become a Trigonometry Master is organized into the following sections:

    • Angles
    • The unit circle
    • Trig functions and trig identities
    • Graphing trig functions
    • The law of sines and the law of cosines
    • Polar coordinates and graphing polar curves
    • Parametric curves


HERE'S WHAT SOME STUDENTS OF BECOME A TRIGONOMETRY 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.

What are the requirements?

  • Fundamentals of math and Algebra are required
  • Some Geometry can help, but isn't required

What am I going to get from this course?

  • Introduction to angles, including complementary and supplementary angles
  • Angles and their measure, including degrees, DMS and radians
  • The unit circle, including finding sine and cosine, and how to complete a triangle
  • Six circular functions, including reciprocal and pythagorean identites
  • Trig identities, including even-odd, sum-difference, half-angle, double-angle, product-to-sum and sum-to-product
  • Graphing the trig functions, including sine and cosine graphs, and transformations
  • 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

Who is the target audience?

  • 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

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Getting started
Welcome to Trigonometry!
Preview
00:34
Section 2: Introduction to angles
Complementary and supplementary angles
Preview
04:00
Complementary and supplementary angles
2 questions
Sketching angles in standard position
10:15
Sketching angles in standard position
2 questions
Quadrant of the angle
08:19
Quadrant of the angle
2 questions
Section 3: Angles and their measure
Converting between degrees and dms
06:56
Converting between degrees and dms
2 questions
Finding coterminal angles
Preview
10:56
Finding coterminal angles, example 2
12:23
Finding coterminal angles
2 questions
Functions of negative angles
2 questions
Converting between degrees and radians
03:48
Converting between degrees and radians, example 2
04:30
Converting between degrees and radians
2 questions
Oriented arc for a real number
05:41
Oriented arc for a real number
2 questions
Area of a circular sector
03:51
Area of a circular sector
2 questions
Linear and angular velocity
2 questions
Section 4: The unit circle
Finding sine and cosine of an angle theta
04:07
Finding sine and cosine of an angle theta
2 questions
Finding sine given cosine, or vice versa
09:59
Finding sine given cosine, or vice versa
2 questions
All possible values for the angle theta
08:28
All possible values for the angle theta, example 2
09:05
All possible values for the angle theta
2 questions
All possible values for the real number t
03:50
Completing a right triangle
06:01
Completing a right triangle
2 questions
Finding the side lengths of the triangle
02:44
Reference angle theorem
2 questions
Given a point on the terminal side of the angle
03:48
Given a point on the terminal side of the angle
2 questions
Section 5: Six circular functions
Domain and range of the circular functions
2 questions
Find the value or say where the function is undefined
08:25
Find the value or say where the function is undefined
2 questions
Find all six trig functions given the quadrant of the angle
12:04
Find all six trig functions given the quadrant of the angle
2 questions
Find all six trig functions at the coordinate point
07:37
Find all six trig functions using reciprocal identities
05:27
Angle of elevation
04:23
Angle of depression and elevation
2 questions
Proving the trig equation
05:37
Proving the trig equation
2 questions
Proving the trig equation with pythagorean identities
05:49
Section 6: Trig identities
Even-odd identities
04:40
Even-odd identities
2 questions
Sum-difference identities
13:44
Sum-difference identities, example 2
10:44
Sum-difference identities, example 3
10:25
Sum-difference identities
2 questions
Double-angle identities
06:10
Double-angle identities
2 questions
Half-angle identities
08:47
Half-angle identities
2 questions
Product-to-sum identities
03:38
Product-to-sum identities
2 questions
Sum-to-product identities
03:03
Sum-to-product identities
2 questions
Using trig identities to prove the equation
08:36
Using trig identities to prove the equation
2 questions
List the solutions of the equation inside the interval
06:32
List the solutions of the equation inside the interval, example 2
15:46
List the solutions inside the interval
2 questions
Finding the value of an inverse trig function
07:35
Section 7: Graphing the trig functions
Period and amplitude
05:40
Period and amplitude
2 questions
Sketching sine and cosine
12:09
Sketching sine and cosine
2 questions
Horizontal and vertical shifts
2 questions
Comparing sine and cosine graphs
08:20
Sequence of transformations
05:37
Sequence of transformations
2 questions
Graphing combinations of functions
2 questions
Section 8: The law of sines and law of cosines
Law of sines
06:14
Law of sines
2 questions
Law of cosines
07:05
Law of cosines
2 questions
Law of sines for area of a triangle
05:50
Heron's formula for area of a triangle
06:54
Area of a triangle
2 questions
Section 9: Midterm exam
Midterm exam
37 questions
Section 10: Polar coordinates
Converting polar coordinates to rectangular
04:14
Converting rectangular coordinates to polar
05:21
Express the polar point multiple ways
06:37
Converting equations from polar to rectangular
03:37
Converting equations from rectangular to polar
04:50
Section 11: Graphing polar curves

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Instructor Biography

Krista King, Your geeky, trusty math tutor

Math class was always so frustrating.

I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half.

I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all.

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