Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q56.

Expert-verified

Precalculus Mathematics for Calculus

Found in: Page 593

Book edition 7th Edition

Author(s) James Stewart, Lothar Redlin, Saleem Watson

Pages 948 pages

ISBN 9781337067508

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

Polar Equations to Rectangular Equations
Convert the polar equation to rectangular coordinates
$r = 2 \csc θ$

The rectangular equation is $y = 2$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

An equation is given in polar coordinate system as $r = 2 \csc θ$

Step 2. Concept used

Use conversion formulae from rectangular coordinates into polar coordinates as-

$\begin{array}{l} x = r \cos θ \\ y = r \sin θ \end{array}$

Substitute the value in the formulae. And simplify them.

Step 3. Calculation

Formulae used,

$y = r \sin θ$

Substitute the values in the formulae,

$\begin{array}{l} r = \frac{2}{\sin θ} \\ y = r \sin θ \\ ∴ y = 2 \end{array}$

It is a line

Most popular questions for Math Textbooks

Different Polar Coordinates for the Same Point Plot the point that has the given polar coordinates. Then give two other polar coordinate representations of the point, one with $r < 0$ and the other with $r > 0$ $(- 2, - \frac{π}{3})$

Plotting Points in Polar Coordinates Plot the point that has the given polar coordinates $(- 5, - \frac{17 π}{6})$

Polar Equations to Rectangular Equations

Convert the polar equation to rectangular coordinates

$r = 7$

Graphing Polar Equations Sketch a graph of the polar equation.

$r = 3 \sin θ$ .

Rectangular Equations to Polar Equations

Convert the equation to polar form. $y = 5$

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free