Question

Identify the graph of
r = 2 cos(0)

Answer 1

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.

Answer 2

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.