zolowski zolowski
  • 08-08-2017
  • Mathematics
contestada

Make y=x^3 a polar equation.

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jdoe0001 jdoe0001
  • 08-08-2017
[tex]\bf y=x^3\implies \cfrac{y}{x^3}=1\implies \cfrac{rsin(\theta )}{[rcos(\theta )]^3}=1\implies \cfrac{rsin(\theta )}{r^3cos^3(\theta )}=1 \\\\\\ \cfrac{sin(\theta )}{r^2cos^3(\theta )}=1\implies \cfrac{sin(\theta )}{cos^3(\theta )}=r^2\implies \sqrt{\cfrac{sin(\theta )}{cos^3(\theta )}}=r[/tex]
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