# Ch 5: Working with Complex Numbers in Trigonometry: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school trigonometry material will benefit from taking this course. There is no faster or easier way to learn high school trigonometry. Among those who would benefit are:

- Students who have fallen behind in understanding how to perform arithmetic operations with complex numbers
- 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 complex numbers
- 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 Working with Complex Numbers in 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 Working with Complex Numbers in Trigonometry chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any complex numbers 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 complex numbers unit of a standard high school trigonometry course. Topics covered include:

- Understanding imaginary numbers
- Adding, subtracting and multiplying complex numbers
- Dividing complex numbers
- Graphing complex numbers on the complex plane

### 1. What is an Imaginary Number?

An imaginary number is a complex number that results from the square root of a negative number. Find out where the concept of imaginary numbers came from, and learn how to solve problems involving complex numbers and imaginary numbers.

### 2. How to Add, Subtract and Multiply Complex Numbers

Complex numbers are a combination of a real number and an imaginary number that follow rules similar to those for regular numbers. Learn how to add, subtract, multiply and divide complex numbers through demonstrations of each.

### 3. How to Divide Complex Numbers

Complex numbers are composed of both real and imaginary numbers and are capable of being divided using conjugates comprised of two binomials that are identical apart from the sign on the second term. Learn more about the definition of conjugates and how to divide complex numbers using complex conjugates and multiplying conjugates.

### 4. How to Graph a Complex Number on the Complex Plane

Complex numbers can be graphed, but use a different system to identify their coordinates that functions similarly to real number graphs. Learn how complex numbers are represented on complex axes and planes as a point on a graph.

### Earning College Credit

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### Other Chapters

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
- 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
- TASC Math: Trigonometry