# Trigonometry - The Unit Circle, Angles, & Right Triangles

## What you'll learn

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

## 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.

## Featured review

## Course content

- Preview00:30
- Preview01:26
- 01:23Positive and Negative Angles
- 01:18Acute Angles, Right Angles, Obtuse Angles, and Straight Angles
- 01:36Angles and Quadrants
- 06:17Drawing Angles In Standard Position In Degrees
- 02:26Definition of the Radian
- 02:04Calculating Radian Measure
- Preview03:12
- 02:53Converting Radians to Degrees
- 01:49Drawing Angles In Standard Position In Radians
- 04:25Drawing Common Angles In Radian
- 06:18Coterminal Angles
- Preview03:11
- 06:42Converting Decimal Degrees to DMS
- 07:48Arc Length
- 06:05Area of the Sector of a Circle
- Preview18:57
- 12:18Clock Time to Angle Measure
- 14:01Video Quiz - Angle Measure

## Instructor

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.