SOLUTION: Convert the polar equation r^2=2cos^2(theta) + 3sin^2(theta) into a rectangular equation Thanks again! I'm really stuck on my trig problems!

Algebra ->  Trigonometry-basics -> SOLUTION: Convert the polar equation r^2=2cos^2(theta) + 3sin^2(theta) into a rectangular equation Thanks again! I'm really stuck on my trig problems!       Log On


   

Question 437605: Convert the polar equation r^2=2cos^2(theta) + 3sin^2(theta) into a rectangular equation
Thanks again! I'm really stuck on my trig problems!
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
r%5E2+=+x%5E2+%2B+y%5E2, x+=+rcos%28theta%29, and y+=+rsin%28theta%29.
r%5E2=2cos%5E2%28theta%29+%2B+3sin%5E2%28theta%29+
<==> r%5E2+=+2%28x%2Fr%29%5E2+%2B+3%28y%2Fr%29%5E2
<==> r%5E2+=+2x%5E2%2Fr%5E2+%2B+3y%5E2%2Fr%5E2
<==> r%5E4+=+2x%5E2+%2B3y%5E2
<==> %28x%5E2+%2B+y%5E2%29%5E2+=+2x%5E2+%2B3y%5E2