About This Chapter
Principles of Trigonometry - Chapter Summary
Get a quick refresher of the principles of trigonometry from home or on-the-go with help from this chapter. Enjoy access to online lessons that offer in-depth analyses of sines, cosines, inverse trigonometric functions and more. Our instructors make the lessons easy to understand, ensuring you have the knowledge to do the following:
- Use trigonometry and the Pythagorean theorem to solve right triangles
- Define and discuss the application of the laws of sines and cosines
- Share the definition and examples of trigonometric functions
- Determine trigonometric identify using graphs
- List and describe the properties of inverse trigonometric functions
- Recognize and model periodic functions
The resources in this chapter make your study of the principles of trigonometry fun and convenient. Lessons are engaging and informative and are accompanied by multiple-choice quizzes you can take any time to ensure you comprehend key concepts. If you need to clarify or expand your understanding of specific topics, don't hesitate to submit your questions to our subject-matter experts. To confirm your overall knowledge of this chapter, be sure to take our practice exam.
1. Solving Right Triangles Using Trigonometry & the Pythagorean Theorem
The Pythagorean Theorem is one of the most well-known and useful math equations. Its simple form and abundant uses make it one of the most helpful processes to learn in math. In this lesson, learn how to solve right triangles using the Pythagorean Theorem.
2. 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.
3. 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.
4. Trigonometric Functions: Definition & Examples
In mathematics, trigonometric functions are functions of angles. This lesson will describe the 6 main trigonometric functions, use them to solve problems, and give some examples. The quiz at the end of the lesson will allow you to practice what you've learned.
5. Using Graphs to Determine Trigonometric Identity
After watching this video lesson, you will be able to use graphs to determine whether an equation is a trigonometric identity or not. Learn what you need to look for to determine this.
6. Properties of Inverse Trigonometric Functions
After watching this video lesson, you will understand why our inverse trigonometric functions have a limited range. Learn what this does. Also learn the notation for these functions.
7. Recognizing & Modeling Periodic Functions
Trigonometric functions such as sine and cosine are periodic in nature, exhibiting repeating waves through a given period. These functions serve to model physical phenomena such as sound waves and / or uniform circular motion.
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