Polar Graphs/Equations

The polar form is $$r = -\frac{4}{\sin\theta}$$ .

The relationship is given by: $$x = r \cos(\theta)$$ and $$y = r \sin(\theta)$$ .

The polar form is $$r \cos(\theta) = 3$$ .

The polar form is $$r^2 = 16$$ or $$r = 4$$ .

The polar form is $$r \sin(\theta) = 2r \cos(\theta)$$ or simplified to $$\tan(\theta) = 2$$ .

The polar form is $$r \sin(\theta) = (r \cos(\theta))^2$$ .

The polar form is $$r \sin(\theta) = -r \cos(\theta)$$ or simplified to $$\tan(\theta) = -1$$ .

The angle θ represents the direction of the point from the origin in the polar coordinate system.

The radius r represents the distance from the origin to the point in the polar coordinate system.

The area A is given by the formula: $$A = \frac{1}{2} \int_{\alpha}^{\beta} r(\theta)^2 d\theta$$ .