SOLUTION: Write the following equation in polar form: x^2+y^2+12y=0

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Question 1191360: Write the following equation in polar form: x^2+y^2+12y=0
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2%2By%5E2%2B12y=0+ in polar form
Use the formulae that link Cartesian to Polar coordinates,

x=r%2Acos%28theta%29+ and+y=r%2Asin%28theta%29+

and substituting into the given equation


%28r%2Acos%28theta%29+%29%5E2%2B%28r%2Asin%28theta%29+%29%5E2%2B12r%2Asin%28theta%29+=0+

r%5E2%2Acos%5E2%28theta%29+%2Br%5E2%2Asin%5E2%28theta%29+%2B12r%2Asin%28theta%29+=0+

r%5E2%28cos%5E2%28theta%29+%2Bsin%5E2%28theta%29+%29%2B12r%2Asin%28theta%29+=0+..........cos%5E2%28theta%29+%2Bsin%5E2%28theta%29=1

r%5E2+%2B+12r%2Asin%28theta%29+=+0-> equation in polar form