MHB Can the Polar Form of $y=x^3$ be Plotted on W|A?

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The discussion revolves around converting the equation $y=x^3$ into polar form and the challenges faced in plotting it on Wolfram Alpha (W|A). The polar form derived is $r=\pm\sqrt{\frac{\sin(x)}{\cos^3(x)}}$, but it does not yield the expected plot of $y=x^3$. Participants are exploring the effectiveness of W|A for generating polar plots. There is a consensus that using W|A can be beneficial for visualizing polar equations. The conversation highlights the complexities involved in plotting non-standard forms in polar coordinates.
karush
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$y=x^3$ in polar form

I got to this but it didn't plot ${x}^{3}$

$$r=\pm\sqrt{\frac{\sin\left({x}\right)}{\cos^3\left({x}\right)}}$$
 
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Quess I should use W|A for polar plots
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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