The result of transforming the equation r2 = 6rcos(θ) + 7rsin(θ) from polar to rectangular coordinates is:

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06-06-2018
Mathematics

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The result of transforming the equation r2 = 6rcos(θ) + 7rsin(θ) from polar to rectangular coordinates is:

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sqdancefan sqdancefan · Answer 1 · 2018-06-13T11:12:27+02:00

sqdancefan sqdancefan

13-06-2018

The usual substitutions (x=r·cos(θ), y=r·sin(θ)) will give
x² + y² = 6x +7y
Completing the square gives
(x² -6x +9) + (y² -7y +49/4) = 9 +49/4
(x -3)² +(y -3.5)² = 21.25

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