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Had a trig exam today, got all problems right except for one that seemed to stump me:

Change from polar form to rectangular coordinate form:

r = 1 - 2cosθ

I got the graph right I know that, but I couldn't figure a way to change it over. It kind of bugs me because I went through my entire book after the exam and could not find one problem which had the same format, and no questions similar to this one were on the professors exam study guide. Hate it when professors do that.

I think I got some crazy answer like (x^2+y^2)^2 = 5x^2 + y^2 or something like that. Pretty sure it is wrong though. Luckily, it was only 5pts out of 110pt test.

Thanks in advanced for the replies.

Remember:

r^2 = x^2 + y^2

x = rcosθ

y = rsinθ

tanθ = y/x

Change from polar form to rectangular coordinate form:

r = 1 - 2cosθ

I got the graph right I know that, but I couldn't figure a way to change it over. It kind of bugs me because I went through my entire book after the exam and could not find one problem which had the same format, and no questions similar to this one were on the professors exam study guide. Hate it when professors do that.

I think I got some crazy answer like (x^2+y^2)^2 = 5x^2 + y^2 or something like that. Pretty sure it is wrong though. Luckily, it was only 5pts out of 110pt test.

Thanks in advanced for the replies.

Remember:

r^2 = x^2 + y^2

x = rcosθ

y = rsinθ

tanθ = y/x

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