Chapter 9: Q. 56 (page 731)

Convert the equations given in polar coordinates to equations in rectangular coordinates.
$r = 1, r = - 2, r = 3$

Short Answer

Expert verified

The rectangular form of equations are:

$x^{2} + y^{2} = 1 x^{2} + y^{2} = 4 x^{2} + y^{2} = 9$

Step by step solution

Step 1. Given information

The polar form of equations:

$r = 1 r = - 2 r = 3$

Step 2. Convert polar form into the rectangular form.

As we know that $r = \sqrt{x^{2} + y^{2}}$

$r = 1 \sqrt{x^{2} + y^{2}} = 1 x^{2} + y^{2} = 1$

$r = - 2 \sqrt{x^{2} + y^{2}} = - 2 x^{2} + y^{2} = {(- 2)}^{2} x^{2} + y^{2} = 4$

localid="1652104451284" $r = 3 \sqrt{x^{2} + y^{2}} = 3 x^{2} + y^{2} = {(3)}^{2} x^{2} + y^{2} = 9$

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Convert the equations given in polar coordinates to equations in rectangular coordinates.
$r = 1, r = - 2, r = 3$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Convert polar form into the rectangular form.

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Convert the equations given in polar coordinates to equations in rectangular coordinates.r=1,r=-2,r=3

Short Answer

Step by step solution

Step 1. Given information

Step 2. Convert polar form into the rectangular form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Decision Maths

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Convert the equations given in polar coordinates to equations in rectangular coordinates.
$r = 1, r = - 2, r = 3$