# Ch 39: Compass Math: Polar Coordinates & Parameterization

### About This Chapter

## Compass Math: Polar Coordinates & Parameterization - Chapter Summary

Allow our instructors to give you a recap about the formulas and functions associated with polar coordinates and parameterization through these engaging lessons. In the trigonometry section of the ACT Compass Mathematics Test, you may have to answer related questions to show how well you comprehend the following:

- Process of graphing functions in polar coordinates
- Polar form complex numbers
- Analyzing parametric equations
- Changing from parametric forms to rectangular forms
- Parametric equation graphs
- Applied contexts of parametric equations
- Conic sections

Our test-prep materials give you the freedom to study in multiple ways, and, since all of our materials are online, you can use your Internet-ready device to make your study center 100% mobile. The video lessons can be viewed in their given order or you can scroll through the menu and pick the lessons you want to examine. Each video lesson comes with its own transcript. If you need any additional help before you take the ACT Compass Mathematics Test, you can always send our instructors messages with your questions.

### Compass Math: Polar Coordinates & Parameterization Chapter Objectives

Many academic institutions administer the ACT Compass Mathematics Test as a placement test for new students. The test may include all or some of the following five key areas: college-level algebra, pre-algebra. trigonometry, geometry, and algebra. This chapter can help you provide accurate answers for questions about trigonometric functions on a graph as they relate to parameterization and polar coordinates. On this computer-based placement test, every question will give you several answer options to choose from. Give yourself the best chance at choosing the correct answers on some of the trigonometry questions by watching our videos that go over the steps for parameterization and plotting polar coordinates.

### 1. Graphing Functions in Polar Coordinates: Process & Examples

After watching this video lesson, you will be able to convert any Cartesian coordinate point into a polar coordinate point. You will also learn how to plot these points.

### 2. Complex Numbers in Polar Form: Process & Examples

After watching this video lesson, you will be able to convert complex numbers from rectangular form to polar form easily by following the formulas you will see here. You will also learn how to find the power of a complex number.

### 3. Evaluating Parametric Equations: Process & Examples

After watching this video lesson, you will be able to evaluate a parametric equation for any given parameter. Learn the steps involved and what the complete answer looks like.

### 4. Converting Between Parametric & Rectangular Forms

There are all kinds of ways of writing equations. Learn about parametric equations in this video lesson. Learn how you can convert between parametric equations and their equivalent rectangular equations.

### 5. Graphs of Parametric Equations

Watch this video lesson to learn how you can go about graphing parametric equations. Learn the simplest way to graph parametric equations by eliminating the parameter.

### 6. Parametric Equations in Applied Contexts

Watch this video lesson to learn how you can use parametric equations to help you solve real world problems such as the path of a moving object. Learn how to form parametric equations to model the real world.

### 7. Conic Sections in Polar & Parametric Forms

After watching this video lesson, you will learn to distinguish between the standard form equations for conic sections, the parametric form equations and the polar form equations.

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### Other Chapters

Other chapters within the ACT Compass Math Test: Practice & Study Guide course

- Compass Math: Integers
- Compass Math: Decimals
- Compass Math: Fractions
- Compass Math: Exponents
- Compass Math: Roots & Radicals
- Compass Math: Percents
- Compass Math: Ratios, Rates & Proportions
- Compass Math: Median, Mean & Mode
- Compass Math: Algebraic Equations & Expressions
- Compass Math: Linear Equations
- Compass Math: Substituting Values
- Compass Math: Monomials & Polynomials
- Compass Math: Factoring Polynomials
- Compass Math: Matrices & Absolute Value
- Compass Math: Inequalities
- Compass Math: Complex Numbers
- Compass Math: Logarithms
- Compass Math: Basic Geometry
- Compass Math: Lines & Angles
- Compass Math: Polygons
- Compass Math: Triangles
- Compass Math: Quadrilaterals
- Compass Math: Circles
- Compass Math: Similar Figures
- Compass Math: Complex Figures
- Compass Math: Constructions
- Compass Math: Area, Circumference & Perimeter
- Compass Math: Mathematical Modeling
- Compass Math: Quadratics
- Compass Math: Quadratic Functions
- Compass Math: Trigonometric Functions
- Compass Math: Rational Functions
- Compass Math: Function Operations
- Compass Math: Trigonometric Identities
- Compass Math: Trigonometric Equations
- Compass Math: Trigonometric Applications
- Compass Math: Trigonometric Graphs
- Compass Math: Graph Symmetry