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Trigonometry - The Unit Circle, Angles, & Right Triangles (Udemy.com)

Analytical Trig, Verifying Trigonometric Identities, Double Angle Formulas, Inverse Trigonometric Functions & More.

4.6
( 83 Reviews )

Created by: Julio Gonzalez

Produced in 2017

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What you will learn

  • Students should have a solid understanding of trigonometry if they work through all of the example problems.

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Quality Score

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Overall Score : 92 / 100

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Course Description

This online trigonometry course is for high school and college students who are taking trig and may need help with their homework or simply to pass a test. Here is a list of topics contained in this video.

1. Introduction to Angles - Drawing In Standard Position

2. Converting Angles From Degrees to Radians and Radians to Degrees

3. Circular Arc Length, Linear Speed and Angular Speed

4. Coterminal Angles and Reference Angles

5. The Six Trigonometric Functions and The Unit Circle

6. Finding Exact Values of Trigonometric Functions - Sine, Cosine, and Tangent

7. Even and Odd Trigonometric Functions, Reciprocal Identities, and Quotient Identities

8. Fundamental Pythagorean Identities With Sine and Cosine

9. Right Triangle Trigonometry - SOHCAHTOA and Pythagorean Theorem

10. 30-60-90 and 45-45-90 Right Triangles

11. Angle of Elevation and Angle of Depression Word Problems

12. Trigonometric Functions of Any Angle - Using Reference Angles To Find The Exact Value

13. Evaluating Trigonometric Functions of Quadrantal Angles

14. The Signs of Trigonometric Functions In Quadrants 1 to 4

15. Graphing Sine and Cosine Functions - Identifying The Amplitude, Period, Phase Shift, and Vertical Shift

16. The Graphs and Secant and Cosecant Functions - Domain and Range

17. Graphing Tangent and Cotangent Functions - Identifying The Vertical Asymptote

18. Inverse Trigonometric Functions

19. Inverse Sine Function From Restricted Sine Graph - One to One Function & Horizontal Line Test

20. Finding The Exact Value of an Inverse Sine and Cosine Function

21. Graphing The Inverse Sine, Cosine, and Tangent Function

22. Domain and Range of Inverse Trig Functions

23. Evaluating a Composite Trigonometric Expression With Inverse Functions

24. Applications of Trigonometric Functions - Solving Two Right Triangle Systems

25. Introduction to Bearings - Word Problems

26. Verifying Trigonometric Identities - Changing Sines to Cosines and Factoring

27. Sum and Difference Formulas of Sine, Cosine, and Tangent - Alpha and Beta Angles

28. Finding Exact Values With Sum and Difference Formulas

29. Verifying Trig Identities With Sum and Difference Formulas

30. Using Double Angle Formulas For Sine, Cosine, and Tangent To Find Exact Values

31. Simplifying Trigonometric Expressions With Power Reducing Formulas

32. Half Angle Formulas and Identities

33. Verifying Trigonometric Identities With Double Angle Formulas

34. Inverse Trigonometric Functions With Double Angle Formulas and Half Angle Identities

Who this course is for:
This course is for high school and college students who wish to do well in Trigonometry.
Read More product length iconTime: 19.5h

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Instructor Details

Julio Gonzalez

I started my education career by tutoring students right after high school and into college receiving a BA in Chemistry. The request that I usually receive were hard core topics like Algebra, Geometry, Trigonometry, Precalculus, Calculus, General Chemistry, Physics, and Organic Chemistry.
Over time, I learned which teaching methods are most effective for helping students to not only understand the material but to retain it and to apply it during an exam to boost their score. Now, I focus more on creating videos and online courses that help not just students in my locality but students worldwide who might be struggling with this course.
Best Regards,
Julio G.


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Reviews

4.6

83 total reviews

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By Geraldine Cantwell on 10/15/2020

yes. when I get to the end I can tell you more.

By Ted Kollker on 10/13/2020

The basic of the course with good,
and it feels like the instructor is really trying to teach as deep as he can.
But,
sometimes there is a lack of explanation about the teaching topic, and I needed to try and understand it by myself.
Also (although it's rare, it still exists) sometimes there are mistakes in the instructor's calculation, and he is not corrected him self

By Ketav Brahmbhatt on 10/1/2020

just to develop my knowledge in trigonometry and to make much more easier for harder questions in future

By Michael Gomez on 9/26/2020

best teacher ever!!!!!

By Linn Isbell on 9/23/2020

Really enjoy this course so far. The instructor is exceptional

By Daniel Wade on 9/23/2020

The best trig course ever!

By Benjamin Springer on 9/17/2020

The maker does a good job explaining things without being condescending.

By Laurie Gonzales on 9/8/2020

Thank you for doing these videos!

By William Tocco on 9/5/2020

Many worked examples greatly aid understanding and retention.

By Leslie Kelley on 9/4/2020

I took Calculus in college but needed a refresher for trig. I'm having such fun remembering!

By Matthew Leong Wen Jieh on 8/19/2020

It helped me answer math olympiad questions in AIMO

By Mong Yang on 8/12/2020

I saw your videos on YouTube and I found them to be really helpful. I came to Udemy because of you.

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Trigonometry - The Unit Circle, Angles, & Right Triangles
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  • Video Duration: icon 19.5h
  • Price: 11.99 Track Price 11.99 Track Price
  • Provider: icon Udemy
  • Year: icon 2017
  • Language: icon English
  • Certificate: icon Yes
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