Question

Convert r=12 cos(theta) to rectangular form

Answer 1

\[x=r\cos(\theta)\\
\frac{x}{r}=\cos(\theta)\]

Answer 2

substitute get \[\frac{r}{12}=\frac{x}{r}\]

Answer 3

making \[r^2=12x\] or \[x^2+y^2=12x\]

Answer 4

I got to x^2+y^2=12x, but wasn't sure if that is rectangular form. Can you confirm that it is?

Answer 5

you could put \[x^2+y^2-12x=0\] or complete the square to make it a circle in standard form

Answer 6

Thanks for the help!