Asked by Sandy East Ward

How would I rewrite this in rectangular form? //

r = 8 sin theta - 2 cos theta?

I apologize, there was an error before.

Answers

Answered by Steve
so, you couldn't fix it and finish it off? The method was right in front of you ...

r = 8sinθ - 2cosθ
r^2 = 8r sinθ - 2r cosθ
x^2+y^2 = 8y-2x

That's ok as an equation, but I suspect you want a more standard form, so keep working it, completing the squares:

x^2+2x + y^2-8y = 0
x^2+2x+1 + y^2-8y+16 = 1+16
(x+1)^2 + (y-4)^2 = 17
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