Question

How do I find a cartesian equation for the curve r=3/(1+sin(theta)) ?

Answer 1

\[r=\frac{ 3 }{ 1+\sin \theta }\]

Answer 2

\[or, r+r \sin \theta=3\]

Answer 3

i think u know \[x=r \cos \theta\]

Answer 4

\[y= r \sin \theta\]

Answer 5

\[x ^{2}+y ^{2}=r ^{2}\]

Answer 6

so our equation will b\[r+y=3\]

Answer 7

i think u r now able to simplify it

Answer 8

so from here, would i move it to r=3-y
then square both sides to r^2=9-6y+y^2
?

Answer 9

ya

Answer 10

put r^2=x^2+y^2

Answer 11

oh! ok, i get it now! Thank you!

Answer 12

welcome