Question

r = -6 sin(theta)

Part I: Multiply both sides of this equation by r and use the fact that to rewrite this equation in terms of x and y.

Part II: Complete the square to produce the final equation.

Part III: Using only your answer to part II, what shape does this graph make?

Answer 1

no

Answer 2

did you do Part I ? what did you get?

Answer 3

No I have no idea how to do. D:

Answer 4

use the fact that :
r^2 = x^2 + y^2
x = rcos(theta)
y = rsin(theta)

in part i, you should get x^2 + y^2 = -6rsin(theta)

notice you can replace the rsin(theta) with y...

Answer 5

\[
\begin{align*}
r&=-6\sin(\theta) \\
r^2&=r(-6\sin(\theta))&\text{Part I} \\
\frac{r^2}{-6}&=r\sin(\theta) \\
\frac{r^2}{-6}&=y \\
r^2&=-6y \\
x^2+y^2&=-6y
\end{align*}
\]
Try complete the square and finish part ii and iii.