Question

Convert the polar equation to rectangular equation
r=1/(1+sin theta)
my answer is y^2(x+1)=r or (y^2(x+1))^2=x^2+y^2
I need somebody to check it for me :D

Answer 1

@Kainui yes you are here help plz

Answer 2

did you cross multipl

Answer 3

nop

Answer 4

actually lets use the conversion factors

x = r cos t
y = r sin t
x^2 + y^2 = r^2

so we have
y/r = sin t

Answer 5

want me to draw how i got the answer?

Answer 6

r = 1 / ( 1 + y/r )

now cross multiply

Answer 7

r ( 1 + y/r) = 1
r*1 + r* (y/r) = 1
r + y = 1

r = 1 - y

now square both sides

Answer 8

r^2 = ( 1 - y ) ^2

x^2 + y^2 = ( 1 - y)^2

Answer 9

what did you get?

Answer 10

let me draw it