Mathematics: Convert r=(12)/4+8sin the theta to rectangular form

Convert r=(12)/4+8sin the theta to rectangular

Ответ:

samueldfhung

06.01.2022

$r=\dfrac{12}{4+8\sin\theta}=\dfrac3{1+2\sin\theta}$

Let $y=2\sin\theta$ , and recall that in polar coordinates, $r=\sqrt{x^2+y^2}$ . This means you have

$\sqrt{x^2+y^2}=\dfrac3{1+y}$

You can stop there, or try to find something that looks somewhat nicer.

$x^2+y^2=\dfrac9{(1+y)^2}$

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Ответ:

zackmoore

21.07.2020

Mathematics

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Convert r=(12)/4+8sin the theta to rectangular form

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