About This Chapter
TASC Math: Trigonometry - Chapter Summary
Prepare for questions related to the lengths and angles of triangles on the TASC Math test with help from our online lessons and quizzes. The videos include topics related to:
- Sine and cosine transformations
- Tangent function
- Unit circles
- The first quadrant
- Right triangles
- Law of Sines and Law of Cosines
- Double angle formula
- Radians and degrees
- Solving trigonometric equations
- Trig identities
The lessons in this chapter review the properties of triangles and how you can use them to solve mathematical equations. They include short video lessons as well as practice quizzes that test your comprehension of key points. Each component is broken down into easy-to-understand video lessons to make sure you understand the fundamental elements of trigonometry.
TASC Math: Trigonometry - Chapter Objectives
The TASC is a high school equivalency test that is used by several states to test students' knowledge in math, science, reading, writing and social studies. The math portion of this test is divided into two subsections; a 50-minute section where you can use a calculator and 55 minutes for the non-calculator portion. The questions cover a wide range of math concepts in numbers and quantity, algebra, functions, geometry and statistics. Prepare for questions regarding the properties of triangles with this chapter's lessons on the Laws of Sines and Cosines, solving trigonometric equations and converting between degrees and radians. These questions fall into the test's geometry content domain, worth 23% of the total score.
1. 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.
2. 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.
3. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. 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.
11. 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 High School Trigonometry: Help and Review course
- Real Numbers - Types and Properties: Help and Review
- Working with Linear Equations in Trigonometry: Help and Review
- Working with Inequalities in Trigonometry: Help and Review
- Absolute Value Equations in Trigonometry: Help and Review
- Working with Complex Numbers in Trigonometry: Help and Review
- Systems of Linear Equations in Trigonometry: Help and Review
- Mathematical Modeling in Trigonometry: Help and Review
- Introduction to Quadratics in Trigonometry: Help and Review
- Working with Quadratic Functions in Trigonometry: Help and Review
- Coordinate Geometry Review: Help and Review
- Functions for Trigonometry: Help and Review
- Understanding Function Operations in Trigonometry: Help and Review
- Graph Symmetry in Trigonometry: Help and Review
- Graphing with Functions in Trigonometry: Help and Review
- Basic Polynomial Functions in Trigonometry: Help and Review
- Higher-Degree Polynomial Functions in Trigonometry: Help and Review
- Rational Functions in Trigonometry: Help and Review
- Trig - Rational Expressions & Function Graphs: Help & Review
- Exponential & Logarithmic Functions in Trigonometry: Help and Review
- Trigonometric Functions: Help and Review
- Geometry in Trigonometry: Help and Review
- Triangle Trigonometry: Help and Review
- Working with Trigonometric Graphs: Help and Review
- Trigonometric Equations: Help and Review
- Working with Trigonometric Identities: Help and Review
- Applications of Trigonometry: Help and Review
- Analytic Geometry & Conic Sections in Trigonometry: Help and Review
- Vectors, Matrices & Determinants in Trigonometry: Help and Review
- Polar Coordinates & Parameterizations: Help and Review
- Circular Arcs, Circles & Angles: Help and Review