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

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SUMMARY

The polar form of the equation $y=x^3$ can be expressed as $r=\pm\sqrt{\frac{\sin\left({x}\right)}{\cos^3\left({x}\right)}}$. Users have reported difficulties in plotting this equation using Wolfram Alpha (W|A). The discussion emphasizes the need for specific input formats when utilizing W|A for polar plots to achieve accurate visual representations.

PREREQUISITES
  • Understanding of polar coordinates and their conversion from Cartesian coordinates
  • Familiarity with the equation $y=x^3$ and its graphical representation
  • Basic knowledge of trigonometric functions, specifically sine and cosine
  • Experience using Wolfram Alpha for mathematical plotting
NEXT STEPS
  • Research the conversion of Cartesian equations to polar form
  • Learn how to effectively use Wolfram Alpha for plotting polar equations
  • Explore the graphical properties of cubic functions in both Cartesian and polar coordinates
  • Investigate common pitfalls when plotting complex equations in mathematical software
USEFUL FOR

Mathematicians, educators, students studying calculus, and anyone interested in visualizing polar equations using computational tools like Wolfram Alpha.

karush
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$y=x^3$ in polar form

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

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

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