How do you convert the Cartesian coordinates (-6, 13) to polar coordinates?

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How do you convert the Cartesian coordinates (-6, 13) to polar coordinates?

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Answer 1 · 2015-08-18T15:13:32

$(sqrt205, arctan-6/13)$

Explanation:

Using polar coordinates, it would be rcos $theta$ = -6 and r sin $theta$ =13.

Squaring and adding both these equations would give $r^2=13^2 +6^2$ , that is r= $sqrt205$

Dividing these equations would give tan $theta= -6/13$ , that is $theta$ = arc tan $(-6/13)$ . The polar coordinates are written as (r, $theta$ ), hence we can write (-6, 13) accordingly.

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How do you convert the Cartesian coordinates (-6, 13) to polar coordinates?

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