About This Chapter
How it works:
- Identify the lessons in the Holt McDougal Algebra 2 Trigonometric Graphs and Identities chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the trigonometric graphs and identities topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Graphing sine and cosine
- Graphing sine and cosine transformations
- Graphing the tangent function
- Sum and difference identities
- The double-angle and half-angle identities
- Solving trigonometric equations
Holt McDougal is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.
1. Graphing Sine and Cosine
In trigonometry, sine and cosine are functions used to study right angles. Learn about graphing sine and cosine, and explore how to do the wave. Review the unit circle, sine wave, cosine wave, period, and amplitude, and understand how these help create the sine and cosine graph.
2. Graphing Sine and Cosine Transformations
The sine and cosine signal waveforms, or waves, can be transformed in multiple ways. Learn how to identify the three types of sine and cosine transformations, including amplitude, period, and phase shift, and practice graphing the transformations with sample problems.
3. Graphing the Tangent Function: Amplitude, Period, Phase Shift & Vertical Shift
Unlike other trigonometric functions, a tangent function can be transformed in four different ways. Learn how to graph the tangent function and to visualize and change the amplitude, period, phase shift, and vertical shift of a tangent function.
4. Graphing the Cosecant, Secant & Cotangent Functions
After watching this video lesson, you will learn what the graphs of the cosecant, secant, and cotangent trigonometric functions look like. You will also learn how to see if these graphs are shifted or transformed.
5. List of the Basic Trig Identities
The fundamental trigonometric identities are equations applicable to triangles with a right angle. Discover the trigonometric identities established using sine, cosine, tangent, cotangent, secant, and cosecant functions, and learn their use and applications.
6. 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.
7. The Negative Angle Identities in Trigonometry
Trigonometric identities are excellent tools in trigonometry. In this lesson, we are going to look at the trigonometric identities that are negative angle identities. We will look at these identities and apply them to various examples.
8. How to Use a Rotation Matrix
Watch this video lesson to see how you can use a rotation matrix to rotate ordered pairs by a certain angle. Also, learn about the special rotation matrices for rotating points by 90 degrees, 180 degrees, and 270 degrees.
9. The Double Angle Formula
In trigonometry, a double angle is twice as large as a common angle. Learn how to calculate the double angle formula, explore trigonometry twins for sine, cosine, and tangent, and apply this information in practice problems using the double angle formula.
10. Half-Angle Identities: Uses & Applications
After watching this video lesson, you will be able to use half-angle identities to help you simplify your trig problems and also to help you prove other trig statements.
11. How to Solve Trigonometric Equations: Practice Problems
Trig equations can look like some kind of alien language, but once you get the principles down, they're not too bad. In this lesson, we'll work through some examples.
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Other chapters within the Holt McDougal Algebra 2: Online Textbook Help course
- Holt McDougal Algebra 2 Chapter 1: Foundations for Functions
- Holt McDougal Algebra 2 Chapter 2: Linear Functions
- Holt McDougal Algebra 2 Chapter 3: Linear Systems
- Holt McDougal Algebra 2 Chapter 4: Matrices
- Holt McDougal Algebra 2 Chapter 5: Quadratic Functions
- Holt McDougal Algebra 2 Chapter 6: Polynomial Functions
- Holt McDougal Algebra 2 Chapter 7: Exponential and Logarithmic Functions
- Holt McDougal Algebra 2 Chapter 8: Rational and Radical Functions
- Holt McDougal Algebra 2 Chapter 9: Properties and Attributes of Functions
- Holt McDougal Algebra 2 Chapter 10: Conic Sections
- Holt McDougal Algebra 2 Chapter 11: Probability and Statistics
- Holt McDougal Algebra 2 Chapter 12: Sequences and Series
- Holt McDougal Algebra 2 Chapter 13: Trigonometric Functions