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Trigonometry 28 Online
OpenStudy (anonymous):

PLEASE HELP ASAP. I DO NOT UNDERSTAND. Which rectangular equation is equivalent to the polar equation r sin(theta) = -2 A. x = -2 B. y = -2 C. x^2 + y^2 = -2 D. y = -2x^2

OpenStudy (anonymous):

Do you know the equations to go between rectangular and polar?

OpenStudy (anonymous):

I have no idea. ): @peachpi

OpenStudy (anonymous):

1) x = r cos Θ 2) y = r sin Θ 3) x² + y² = r²

OpenStudy (anonymous):

-2 is y right?

OpenStudy (anonymous):

right

OpenStudy (anonymous):

If I were to do option 3 would it be r = x - 2?

OpenStudy (anonymous):

you mean if you were to convert that to polar?

OpenStudy (anonymous):

Yes. @peachpi

OpenStudy (anonymous):

It would be r = -2.

OpenStudy (anonymous):

Don't mix the variables. (r, Θ) is polar and (x, y) is rectangular.

OpenStudy (anonymous):

Ohhh, Ok.

OpenStudy (anonymous):

I don't know what to do now? @peachpi

OpenStudy (anonymous):

Would the answer be C?

OpenStudy (anonymous):

It's B, y = -2

OpenStudy (anonymous):

I don't understand why.. ):

OpenStudy (anonymous):

its the inter conversion between the rectangular and polar coordinates system in rectangular(X,Y) in polar (r,theta) so x=rcos(theta) y=rsin(theta) and \[x ^{2} + y ^{2} = r ^{2}\]

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