Question

Find an equivalent equation in rectangular coordinates
1) r= 5 + 8 sin theta
2) r= 6/ (3+ cos theta)

Answer 1

Perform substitutions and simplify. There are only three.

Answer 2

i tried but its hard...can u show me one?

Answer 3

\[r = 5 + 8 \sin \theta\]
\[x^2 + y^2 = 5 +\frac{ y }{ x^2 + y^2 }\]
Just simplify this one

Answer 4

w8

Answer 5

I forgot to write 8. it should be 8y in the denominator

Answer 6

i thought sin theta = y/r

Answer 7

8 sin theta = 8y/r = 8y / square root ( x^2 + y^2)

Answer 8

@Yttrium

Answer 9

oh right!!

Answer 10

sorry. same as in the left hand side.

Answer 11

lol

Answer 12

r = square root ( x ^2 + y^2)

Answer 13

yea. so generally. the answer is
x^2 + y^2 = 5 sqrt(x^2+y^2)+ 8y

Answer 14

just keep the square root?

Answer 15

no