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
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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

What 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
Sketching angles in standard position
10:15
Quadrant of the angle
08:19
Section 3: Angles and their measure
Converting between degrees and dms
06:56
Finding coterminal angles
Preview
10:56
Finding coterminal angles, example 2
12:23
Converting between degrees and radians
03:48
Converting between degrees and radians, example 2
04:30
Oriented arc for a real number
05:41
Area of a circular sector
03:51
Section 4: The unit circle
Finding sine and cosine of an angle theta
04:07
Finding sine given cosine, or vice versa
09:59
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 real number t
03:50
Completing a triangle
06:01
Finding the side lengths of the triangle
02:44
Given a point on the terminal side of the angle
03:48
Section 5: Six circular functions
Find the value or say where the function is undefined
08:25
Find all six trig functions given the quadrant of the angle
12:04
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
Proving the trig equation
05:37
Proving the trig equation with pythagorean identities
05:49
Section 6: Trig identities
Using even-odd identities
04:40
Using sum-difference identities
13:44
Using sum-difference identities, example 2
10:44
Using sum-difference identities, example 3
10:25
Using half-angle identities
08:47
Using double-angle identities to prove the equation
06:10
Using product-to-sum identities
03:38
Using sum-to-product identities
03:03
Using trig identities to prove the equation
08:36
List the solutions of the equation inside the interval
06:32
List the solutions of the equation inside the interval, example 2
15:46
Finding the value of an inverse trig function
07:35
Section 7: Graphing the trig functions
Period and amplitude
05:40
Sketching sine and cosine
12:09
Comparing sine and cosine graphs
08:20
Sequence of transformations
05:37
Section 8: The law of sines
Law of sines
06:14
Law of sines for area of a triangle
05:50
Section 9: The law of cosines
Law of cosines
07:05
Heron's formula for area of a triangle
06:54
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
Graph the polar curve, circle
05:46
Graph the polar curve, rose
08:57
Graph the polar curve, cardioid
06:07
Graph the polar curve, limacon
07:41
Graph the polar curve, lemniscate
12:08
Intersection points of the polar curves
09:09
Graph the polar region in the xy-plane
07:17
Section 12: Parametric curves
Sketching a parametric curve and its orientation
10:52
Write the equation as a parametric curve
06:33

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Instructor Biography

Krista King, Your geeky, trusty math tutor

I used to do #napkinmath. Now I make videos and other resources to help math students understand the important stuff and pass their classes.

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