## Related questions with answers

Question

**Convert the rectangular equation to polar form. Assume $a>0$.**

$y^2=x^3$

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 4Given rectangular equation:

$y^2=x^3$

We need to convert the given equation to its polar form. That is, we need to rewrite the equation such that it only contains the variables $r$ and $\theta$ instead.

Formulas relating polar and rectangular coordinates:

$\begin{aligned} x&=r\cos \theta \\ y&=r\sin \theta \\ \\ r^2&=x^2+y^2 \\ \tan \theta&=\frac{y}{x} \end{aligned}$

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