About This Chapter
Logarithms & Trigonometry - Chapter Summary
Our instructors will teach you the basics of logarithmic math and trigonometry. Learn the definition of a logarithm, change of base formula and natural logarithm function.
You will also be introduced to the six trigonometric functions, their formulas and plenty of examples. You'll look at arbitrary angles and the use of the Pythagorean Theorem in trigonometry. Explore trig identities and their graphs. After completing the lessons in this chapter, you will have learned:
- Exponentials, logarithms and the natural log
- Basic trigonometric identities
- Real number trig functions
- Uses for trig identities
- How graphs are used to determine trig identities
- Inverse trig functions
Our brief, engaging video lessons help you master math concepts more quickly and remember the material longer. Review as often as you like and move through the chapter at your own pace - topic review is quick and easy using the video tags on the timeline in each lesson. Complete the optional quiz as you complete each lesson to confirm your understanding of the topic.
1. Exponentials, Logarithms & the Natural Log
Use the properties of exponentials and logarithms to learn how carbon dating works. This lesson covers properties of a natural log and rules of logarithms.
2. 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.
3. Trigonometric Function Values of Special Angles
After watching this video lesson, you will better understand the six trigonometric functions. You will also know what special angles there are and what the trigonometric values for these special angles are.
4. Trigonometric Functions of Real Numbers: Definition & Examples
Trigonometric functions are relationships between the angles of a right triangle and the lengths of its sides. They are an important subject in trigonometry and have applications in fields like navigation and architecture. Learn how to calculate the three primary trigonometric functions: sine, cosine, and tangent.
5. Trigonometric Identities: Definition & Uses
After watching this video lesson, you will understand what a trigonometric identity is. You will also know the different kinds of identities you will come across.
6. 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.
7. 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.
8. 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.
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- Additional Topics: Sets
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- Additional Topics: Trigonometry
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