Chapter 10.2, Problem 40E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Eliminating a Parameter In Exercises 39-42, eliminate the parameter and obtain the standard form of the rectangular equation.Circle: x = h + r cos θ ,   y = k + r sin θ

To determine

To calculate: The rectangular equation of a circle by the elimination of the parametric equations given as x=h+rcosθ,y=k+rsinθ.

Explanation

Given:

The given parametric equations of the circle is x=h+rcosÎ¸,y=k+rsinÎ¸.

Formula used:

The trigonometric identity sin2Î¸+cos2Î¸=1.

Calculation:

The parameter equations are x=h+rcosÎ¸,y=k+rsinÎ¸.

In the equation, x=h+rcosÎ¸

x=h+rcosÎ¸xâˆ’h=rcosÎ¸xâˆ’hr=cosÎ¸ â€¦...â€¦... (1)

Similarly, in the equation y=k+rsinÎ¸:

y=k+rsinÎ¸yâˆ’k=rsinÎ¸yâˆ’kr=sinÎ¸ â€¦

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started