4.4 Contents

• Polar ↔ Rectangular Conversion 🔧
• Parametric ↔ Rectangular Conversion 🔧

4.4.1 Polar ↔ Rectangular Conversion 🔧

$$(r,\theta)=\bigg(\sqrt{x^2+y^2},\tan^{-1}\bigg(\frac{y}{x}\bigg)\bigg),\medspace x\ne 0$$ $$(x,y)=\big(r·\sin(\theta),r·\cos(\theta)\big)$$

Common Equations

Ellipse	$0$
Lituus spiral	$r=b/\theta^2$
Hyperbolic spiral	$r=b/\theta$
Archimedean spiral	$r=b·\theta$
Fermat's spiral	$r=b·\theta^2$
Lemniscate	$0$
Rose Curve	$0$

4.4.2 Parametric ↔ Rectangular Conversion 🔧