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OpenStudy (anonymous):
Huge problem! I need to know how to convert rectangular coordinates to polar coordinates when x=0 ! please help! I know when x≠0 θ=tan^-1(y/x)
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OpenStudy (amistre64):
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OpenStudy (amistre64):
when x=0; your just a radius on the y axis
OpenStudy (amistre64):
theta = 90 or 270 depending in the context ..
OpenStudy (anonymous):
given the context "find polar coordinates for each point" and the rectangular point is (0, 2)
OpenStudy (amistre64):
(r, t )
(2,pi/2)
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OpenStudy (amistre64):
|dw:1330571898507:dw|
OpenStudy (anonymous):
how do you know that?
like can you explain how you would find that θ=(pi/2)
OpenStudy (amistre64):
|dw:1330571915268:dw|
OpenStudy (amistre64):
the y axis is perpendicular to the x axis; when you turn 90 degrees from the x axis you hit the y axis
OpenStudy (anonymous):
alright I see what you're saying now, thanks a bunch
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OpenStudy (amistre64):
or mathic-ly
(x=0,y=2)
r = sqrt(x^2+y^2)
r = sqrt(2^2) = 2
x = r cos(t)
0 = 2 cos(90)
y = r sin(t)
2 = 2 sin(90)
theta = 90
OpenStudy (amistre64):
but really, the logic of it all seems an easier route to me :) good luck
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