SOLUTION: Convert the polar equation to rectangular coordinates. r^2 = 8 cot theta

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Question 752921: Convert the polar equation to rectangular coordinates. r^2 = 8 cot theta
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
r%5E2+=+8+cot%28+theta%29

Use cot%28+theta%29=+cos%28+theta%29%2Fsin%28+theta%29. Also, for r different from zero, use r%2Fr+=+1.
r%5E2+=+8cot%28+theta%29
= 8+%28r%2Fr%29+cos%28+theta%29%2Fsin%28+theta%29+
= 8+%28r%2Acos%28+theta%29%29%2F%28r%2Asin%28+theta%29%29+....==>
x%5E2%2B+y%5E2=+8x%2Fy
highlight%28x%5E2%2B+y%5E2-+8x%2Fy=0%29

You might want to express this differently. Multiplying through by y
yx%5E2+%2B+y%5E3+=+8x
==> x%5E2%2Ay+%2B+y%5E3+-+8x+=+0