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OpenStudy (anonymous):
find an equation equivalent to x=y in polar coordinates
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OpenStudy (anonymous):
\[x=y~~\iff~~r\cos\theta=r\sin\theta~~\Rightarrow~\tan\theta=1\text{ or }\cot\theta=1\] The curve is independent of \(r\), which is any real number. Whatever it is, the angle will always be \(\dfrac{\pi}{4}\).
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