About This Chapter
Who's it for?
Anyone who needs help learning or mastering precalculus material will benefit from taking this course. There is no faster or easier way to learn precalculus. Among those who would benefit are:
- Students who have fallen behind in understanding trigonometry
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about trigonometry
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Trigonometry chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Trigonometry chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any trigonometry question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
In this chapter, you'll find the answers to questions including:
- How do I graph sine and cosine?
- How do I graph sine and cosine transformations?
- What steps do I follow to graph the tangent function?
- How do I use unit circles to relate right triangles to sine and cosine?
- What are the types and properties of special right triangles?
- What is the law of sines, and how do I apply it?
- What is the law of cosines, and how do I apply it?
- How do I use the double angle formula?
- How do I convert between radians and degrees?
- What steps do I follow to solve trigonometric equations for X?
- What are some basic trigonometry identities?
1. Graphing Sine and Cosine
Sine and cosine aren't just for triangles; they can also be waves. See them graphed on the unit circle and then learn how that translates into the sine and cosine waves.
2. Graphing Sine and Cosine Transformations
What happens when we take the sine and cosine wave and transform them? They get bigger, smaller, faster and slower. Find out how in this lesson on sine and cosine wave transformations.
3. Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift
Take a look at how the graph of a tangent function and how we can transform it by making a few small changes to its equation. This video shows how to graph the original function and explains its transformations.
4. Unit Circle: Memorizing the First Quadrant
Memorizing the unit circle can be a daunting task, but this lesson will show you a pattern to help you memorize the points, degree measures, and radian measures for the entire first quadrant.
5. Using Unit Circles to Relate Right Triangles to Sine & Cosine
The unit circle is a helpful tool for understanding trigonometric concepts. In this lesson, we'll look at right triangles on the unit circle to better grasp sine and cosine.
6. Special Right Triangles: Types and Properties
Not all right triangles are the same. In this lesson, we'll look at two special right triangles (30-60-90 and 45-45-90) that have unique properties to help you quickly and easily solve certain triangle problems.
7. Law of Sines: Definition and Application
Don't get stuck trying to find missing sides or angles in a triangle. Use the Law of Sines to rescue you from any perilous triangle in which you have just a few pieces of information.
8. Law of Cosines: Definition and Application
In this lesson, we'll learn how to solve problems involving three sides and one angle in a triangle. The Law of Cosines, a modification of the Pythagorean Theorem, will save the day.
9. The Double Angle Formula
When you encounter a doubled angle, there are special formulas that can help you handle trigonometric value. In this lesson, we'll define and practice using the double angle formulas for sine, cosine and tangent.
10. Converting Between Radians and Degrees
Angles can be measured in degrees or radians. This lesson will explore the difference and provide you with a simple calculation that can be used to convert degrees into radians and radians into degrees.
11. How to Solve Trigonometric Equations for X
Adding trigonometric functions into standard algebra equations adds complexity. Learn how to solve trigonometric equations for x and how to use inverse operations to simplify equations.
12. List of the Basic Trig Identities
There are specific trig functions that have very special and very simple relationships with each other. Learn the main one and how you can use it to understand the others.
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Other chapters within the Precalculus: Help and Review course
- Functions in Precalculus: Help and Review
- Evaluating Exponential and Logarithmic Functions: Help and Review
- Inequalities in Precalculus: Help and Review
- Foundations and Linear Equations in Precalculus: Help and Review
- Graphing and Rational Equations: Help and Review
- Factoring and Graphing Quadratic Equations: Help and Review
- Exponents and Polynomials in Precalculus: Help and Review
- Piecewise and Composite Functions: Help and Review
- Geometry and Trigonometry: Help and Review
- Using Scientific Calculators: Help and Review