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Identify the type of polar graph for the equation: r = 3-5cos θ aLimacon with inner loop bCardioid cDimpled limacon dConvex limacon eRose Curve fCircle gLemniscate

Identify the type of polar graph for the equation: r = 3-5cos θ aLimacon with inner-example-1
User Wyz
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1 Answer

26 votes
26 votes

Given the equation:


r=3-5\cos \theta

Let's identify the type of polar graph for the equation.

To identify the type of polar graph, use the formula below to get the Cartesian form:


(x^2_{}+y^2)=r(\cos \theta,\sin \theta)

Thus, we have:


(x^2+y^2)=3\sqrt[]{x^2+y^2}-5x

We have the graph of the equation below:

We can see the graph forms a Limacon with an inner loop.

Therefore, the type of polar graph for the given equation is a limacon with inner loop.

ANSWER:

Identify the type of polar graph for the equation: r = 3-5cos θ aLimacon with inner-example-1
User Bes Ley
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