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Learn everything from Trigonometry and Precalculus

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- 7 hours on-demand video
- 1 Article
- 3 Supplemental Resources
- Full lifetime access
- Access on mobile and TV

- Certificate of Completion

What Will I Learn?

- 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

Requirements

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

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.*

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

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Curriculum For This Course

Expand All 61 Lectures
Collapse All 61 Lectures
07:05:15

+
–

Getting started
1 Lecture
00:34

+
–

Introduction to angles
3 Lectures
22:34

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

+
–

Angles and their measure
8 Lectures
48:09

Converting between degrees and dms

06:56

Converting between degrees and dms

2 questions

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

00:04

Linear and angular velocity

2 questions

+
–

The unit circle
8 Lectures
48:02

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

+
–

Six circular functions
7 Lectures
49:22

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

+
–

Trig identities
12 Lectures
01:39:40

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

+
–

Graphing the trig functions
4 Lectures
31:46

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

+
–

The law of sines and law of cosines
4 Lectures
26:03

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

+
–

Midterm exam
0 Lectures
00:00

Midterm exam

37 questions

+
–

Polar coordinates
5 Lectures
24:39

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

2 More Sections

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About the Instructor

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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