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Chapter 9: Q. 20 (page 583)

Transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. Verify your graph using a graphing utility.
$r \sin θ = - 2$

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information

The given polar equation is $r \sin θ = - 2$

02

Step 2. Convert polar equation into rectangular equation and graph it.

Since $y = r \sin θ$ , you can write equation as $y = r \sin θ y = - 2$

The graph is

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Most popular questions from this chapter

Use the figure at the right. Determine whether the given statement is true or false.

$G + H + E = D$

If $P = (- 3, 1) a n d Q = (x, 4)$ , find all numbers x such that the vector represented by $\overset{⇀}{P Q}$ has length 5.

Identify and graph each polar equation. Verify your graph using a graphing utility.
$r = 3 \cos (2 θ)$

Identify and graph each polar equation. Verify your graph using a graphing utility.

$r = 4 + 2 \sin θ$

In Problems 39-54,the poplar coordinates of a point are given.Find rectangular coordinates of each point.

$(- 2, \frac{3 π}{4})$

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