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# What is the polar equation of a horizontal line?

The polar equation of ##y=k## is ##r=kcsctheta##.

This can be obtained by using ##y=rsintheta##, one of the conversion equations that relate the Cartesian and polar systems. By substitution, we have ##rsintheta=k##, and consequently ##r=k/sintheta##, which is equivalent to ##r=kcsctheta##.

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