# Ch 18: Overview of Trigonometry: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering SAT mathematics level 2 material will benefit from taking this course. There is no faster or easier way to prepare for this SAT math subject test. Among those who would benefit are:

- Students who have fallen behind in understanding trigonometric functions and identities or the steps required to solve trigonometric equations
- 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 for the SAT
- 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 Overview of 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 Overview of 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:

This chapter helps students review the concepts in a trigonometry unit of a standard math course. Topics covered include:

- Graphs of trigonometric functions
- The unit circle's first quadrant
- Radians and degrees
- Basic trigonometric identities
- Sine, cosine and tangent
- The Pythagorean theorem
- The law of sines
- The law of cosines
- The double angle formula

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 6. Trigonometry: Sine and Cosine

Learn an easy trick to help you solve trigonometry problems, including problems with sine, cosine and inverse trig functions. At the end of this lesson, you'll know what SohCahToa means and how to use it.

### 7. Trigonometry and the Pythagorean Theorem

Explore how the Pythagorean Theorem can be used in conjunction with trigonometric functions. In this lesson, take an inverse trigonometric function, and define all three sides of a right triangle.

### 8. 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.

### 9. 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.

### 10. 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.

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### Other Chapters

Other chapters within the SAT Mathematics Level 2: Help and Review course

- Basic Math Review: Help and Review
- Square Roots: Help and Review
- Basic Algebraic Expressions in Math: Help and Review
- Exponents in Math: Help and Review
- Linear Equations & Inequalities in Algebra: Help and Review
- Absolute Value Equations & Inequalities: Help and Review
- Polynomials in Algebra: Help and Review
- Functions in Math: Help and Review
- Rational Expressions in Algebra: Help and Review
- Matrices: Help and Review
- Sequences and Series in Math: Help and Review
- Exponentials and Logarithms in Math: Help and Review
- Complex Numbers in Math: Help and Review
- Coordinate Geometry Basics: Help and Review
- Graphing Linear Equations & Inequalities: Help and Review
- Advanced Coordinate Geometry: Help and Review
- Three-Dimensional Geometry: Help and Review
- Probability, Combinations & Permutations: Help and Review
- Working with Data & Statistics: Help and Review
- Logic: Help and Review
- Limits in Math: Help and Review