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
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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
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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.
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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.. ):
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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
\[x ^{2} + y ^{2} = r ^{2}\]