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swat32
3 years ago
13

Make y=x^3 a polar equation.

Mathematics
1 answer:
Mariana [72]3 years ago
5 0
\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
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