How do I convert the hyperbola equation x^2/100^2 - y^2/75^2 = 1 to the polar form r = ed/1+ecos<theta>? Am I correct that c = 125 and e = c/a = 1.25?
Hello, skierr4f3!
It can't be done directly . . .How do I convert the hyperbola equation, $\displaystyle \frac{x^2}{100^2} - \frac{y^2}{75^2} \:= \:1$
. . to the polar form: .$\displaystyle r \:= \:\frac{ed}{1 + e \cos\theta}$ ?
The rectangular form has its center at the origin.
The polar form has a focus at the pole (origin).
Right!Am I correct that: $\displaystyle c = 125$ and $\displaystyle e \,=\, \tfrac{c}{a} \,=\,1.25$ ?