Converting an Equation Between the Two Systems Worksheet with Answer Key

What's on the worksheet

1. Write each equation in polar form, solved for r where possible.
   2y + 9 = 0x - \sqrt{3}\,y = 04x^2 + 4y^2 = 25\dfrac{x}{3} + \dfrac{y}{2} = 13x^2 + 3y^2 = 4x
2. Write each equation in rectangular form and name the curve (line, circle or parabola).
   \tan\theta = 2r^2 = 8r\sin\theta + 9r\sin^2\theta = 4\cos\theta + \dfrac{8}{r}\dfrac{r}{\sin\theta} = -10
3. Write the parabola y² = 4x in polar form, solved for r.
4. Mateo converts r = 6θ to rectangular form.
5. Write the circle (x - 9)² + y² = 64 as an equation in r and θ.
6. Write r = 4²θ in rectangular form, with no r left.