SOLUTION: Find a rectangular form of the equation r=5sinx. Thank you for your help!

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Question 861110: Find a rectangular form of the equation r=5sinx. Thank you for your help!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find a rectangular form of the equation r=5sinx. Thank you for your help!
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Conversion equations:
r = sqrt(x^2+y^2)
theta = arctan(y/x)
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Your Problem: r = 5*sin(theta)
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sqrt(x^2+y^2) = sin(arctan(y/x))
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Note: sin(arctan(y/x) = y/sqrt(x^2+y^2)
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So, sqrt(x^2+y^2) = y/sqrt(x^2+y^2)
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x^2 + y^2 = y
Cheers,
Stan H.
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