Question

r=2/(1-sin theta)

Answer 1

try multiplying both sides by 1-sin(theta) first

Answer 2

have you done that yet @zift

Answer 3

r = 2/ (1- sin t )
r(1 - sin t ) = 2
distribute
r - r sin t = 2

convert to rectangular
x = r cos t
y = r sin t
sqrt(x^2 + y^2) = r

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

sqrt(x^2 + y^2) = 2 + y

square both sides

Answer 4

\[r- r \sin(\theta)=2 \\ r=2+r \sin(\theta) \\ r^2=(2+r \sin(\theta))^2 \\ r^2=4+4 r \sin(\theta) +(r \sin(\theta))^2 \]

Answer 5

is the way I would have done it

Answer 6

both ways come out to the same end result

Answer 7

yes i know :)