📘 polar coordinates

1. **Problem:** Identify the type of graph for the polar equation $$r^2 = 9 \cos 2\theta$$. 2. **Formula and rules:**

1. **State the problem:** Identify the symmetries of the polar curve $$r = \sin\left(\frac{\theta}{2}\right)$$ and then sketch it. 2. **Recall symmetry types for polar curves:**

1. Problem Q3: Convert Cartesian equations to polar coordinates using formulas $x = r\cos\theta$ and $y = r\sin\theta$. (a) Given $\frac{x^2}{9} + \frac{y^2}{4} = 1$.