Sketch the curve with the given polar equation by first sketching the graph of r as...

Sketch the curve with the given polar equation by first sketching the graph of r as a function of θ in Cartesian coordinates.

r = 3 cos(2θ)

Expert Solution

Creating data points to plot:

Plotting these points on the graph with θ on x-axis and r on the y-axis, along with the equation r=3*Cos(2 θ), we get:

Here green points are the points from the table above and the blue line is for the equation r=3*Cos(2 θ), with r as the y-axis and θ as the x-axis

Now, transforming the blue line(from the graph above) into the polar graph, we get:

Comparing both coordinate systems:

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genius_generous answered 2 years ago

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