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

Thread starter karush
Start date Mar 23, 2016
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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.

Mar 23, 2016

karush

Gold Member

MHB

$y=x^3$ in polar form

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

$$r=\pm\sqrt{\frac{\sin\left({x}\right)}{\cos^3\left({x}\right)}}$$

Last edited: Mar 23, 2016

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Mar 24, 2016

MarkFL

Gold Member

MHB

Let's have a look see at what W|A produces:

View attachment 5443

Mar 24, 2016

karush

Gold Member

MHB

Quess I should use W|A for polar plots

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