flyingpig said:Homework Statement
I am trying to plot the two polar curves [tex]r = \sqrt{3} cos(\theta)[/tex] and [tex]r = sin(\theta)[/tex]
Mathematica only gives me one of the curves.
I tried plotting PolarPlot[{sqrt (3) Cos[t]}, {t, 0, 2 Pi}] and it gives me a blank box in the first quadrant.
any ideas?
flyingpig said:Neither works
To plot a polar curve in Mathematica, you can use the PolarPlot function. The syntax is PolarPlot[r, {θ, θmin, θmax}], where r is the function of θ that defines the curve, and θmin and θmax specify the range of values for θ. For example, to plot the curve r = θ^2, you would use the code PolarPlot[θ^2, {θ, 0, 2π}].
There could be several reasons for this. Make sure that you have entered the correct syntax for the PolarPlot function and that the curve you are trying to plot is within the specified range for θ. Also, check that the curve is not being overshadowed by other elements in the plot, such as a grid or axes. If you are still having trouble, try adjusting the PlotRange option or using the Show function to combine multiple plots.
To add labels and a legend to your polar curve plot, you can use the Epilog option. This allows you to add text, shapes, and other graphics to your plot. For example, you can use the Text function to add labels and the LineLegend function to create a legend. Make sure to use the Show function to combine your plot and the Epilog elements.
Yes, you can plot multiple polar curves on the same plot by using the Show function to combine them. For example, if you have two curves r1 = θ and r2 = θ^2, you can use the code Show[PolarPlot[θ, {θ, 0, 2π}], PolarPlot[θ^2, {θ, 0, 2π}]] to plot them on the same graph. You can also use the PlotStyle option to change the color or style of each curve to make them easier to distinguish.
To export your polar curve plot to an image file, you can use the Export function. The syntax is Export["filename.extension", plot], where filename is the name you want to give your file and extension specifies the file type (e.g. .png, .jpg, .pdf). For example, if you want to export your plot as a PNG file named "mypolarplot", you would use the code Export["mypolarplot.png", plot].