Question

Find the Cartesian equation of the polar equation r= 5/ (3-4sinx)

Answer 1

its not simplifying out nicely -.- im gonna post what i have so far in a sec.

Answer 2

so x is suppose to be theta right
polar equations are in the from (r, theta)
Cartesian equations are in the form (x,y)

Answer 3

what you have ended up with is a hyperbola
you can write it in the standard form of a hyperbola if you want

Answer 4

polar coordinates is a weakness of mine =/ im using this formulas to convert:
\[r^{2} = x^{2}+y^{2}, \sin(\theta) = \frac{y}{r} \rightarrow y = rsin(\theta)\]

Answer 5

hey thats exactly what i needed thanks a lot again

Answer 6

i dont wanna write it in standard form, im too lazy to complete the square with 40/7 >.<

Answer 7

lol

Answer 8

there is nothing to polar coordinates its just a bunch of substitutions and a different way of graphing

Answer 9

scary stuff~

Answer 10

i understood that some cartesian equations are easier to graph when written in polar form

Answer 11

yeah, cartiods ( i think thats how you spell that), spirals, things of circular nature right?

Answer 12

in some polar equations might be easier graphed written in cartesain form

Answer 13

y=7 is easier to graph than rsin theta=7

Answer 14

http://en.wikipedia.org/wiki/Cardioid

Answer 15

i mean but they are the same graph
but to me it is not easy to see that rsintheta=7 is a horizontal line

Answer 16

yeah, its not >.< i dont see it lol