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

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asked Apr 12, 2019 158k views

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Fayyaz · Answer 1 · 2019-04-18T22:26:14+0000

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

The result of transforming the equation r2 = 6rcos(θ) + 7rsin(θ) from polar to rectangular-example-1

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

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