Question

The letters r and è represent polar coordinates. Write the equation using rectangular coordinates (x,y).

r=1+2sinè

I know that I have to use something along the lines of x=rcosè and y=rsinè, but I'm stuck when I try to figure it out. Can someone help? Thank you!

Answer 1

r = √(x^2 + y^2) and sinØ = y/r , so

r = 1 + 2y/r
multiply both sides by r
r^2 = r + 2y
x^2 + y^2 = √(x^2 + y^2) + 2y

Answer 2

Thanks! That makes sense. One step closer to passing my final exam tomorrow!