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.
Requirements
- Students should have a basic understanding of Algebra and Geometry
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
Instructor
- 4.7 Instructor Rating
- 2,830 Reviews
- 10,751 Students
- 5 Courses
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.