8x+7y=5
How do I change this rectangular equation to polar form!
Please help it's the last part of my graded for correctness homework assignment!
Hello, Xenomorph!
You're expect to know these conversions: .$\displaystyle \begin{Bmatrix}x &=& r\cos\theta \\ y &=& r\sin\theta \end{Bmatrix}$Write in polar form: .$\displaystyle 8x+7y\:=\:5$
Then .$\displaystyle 8x + 7y \:=\:5$ becomes: .$\displaystyle 8r\cos\theta + 7r\sin\theta \:=\:5$
. . Factor: .$\displaystyle r(8\cos\theta + 7\sin\theta) \:=\:5$
Therefore: .$\displaystyle \boxed{r \;=\;\frac{5}{8\cos\theta + 7\sin\theta}} $