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Identify the graph of
r = 2 cos(0)

Identify the graph of r = 2 cos(0)-example-1
User Jurlie
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2 Answers

3 votes

Answer:

Bottom-left graph

Explanation:

The graph of the polar equation
r=2\cos\theta would be a circle with diameter 2 and have a horizontal pole. Therefore, the bottom-left graph is correct.

User Lambros
by
8.1k points
4 votes

Answer:

c. graph

Explanation:

The answer is c.

Let's learn detailly.

The graph of r=2cosθ is a limacon. A limacon is a type of curve that is similar to a circle, but it has two loops. The graph of r=2cosθ is created by plotting points that satisfy the equation r=2cosθ.

To graph r=2cosθ, you can use the following steps:

  • 1. Choose a range of values for θ.
  • 2. For each value of θ, calculate the corresponding value of r.
  • 3. Plot the points (r,θ) on a polar coordinate system.

The following table shows some values of θ and the corresponding values of r: Attachment

Plotting these points on a polar coordinate system, you will get the following graph: Attachment

As you can see, the graph of r=2cosθ has two loops. The first loop is created when θ goes from 0 to π, and the second loop is created when θ goes from π to 2π. The graph is symmetric about the x-axis.

The limacon r=2cosθ is also called a cardioid. The name "cardioid" comes from the Greek word for "heart", because the graph resembles a heart shape.

Identify the graph of r = 2 cos(0)-example-1
User Jzafrilla
by
8.6k points

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