SOLUTION: How to change r=1-sin theta a polar equation to rectangular form i've started to solve the problem and i got r^2=r-rsin theta... and i don't know what to do next..

Algebra ->  Trigonometry-basics -> SOLUTION: How to change r=1-sin theta a polar equation to rectangular form i've started to solve the problem and i got r^2=r-rsin theta... and i don't know what to do next..      Log On


   

Question 872844: How to change r=1-sin theta a polar equation to rectangular form
i've started to solve the problem and i got r^2=r-rsin theta... and i don't know what to do next..
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
r=1-sin%28theta%29


r%2Ar=r%2A%281-sin%28theta%29%29


r%5E2=r-r%2Asin%28theta%29


r%5E2=r-y Use the idea that y+=+r%2Asin%28theta%29


x%5E2%2By%5E2=r-y Remember that r%5E2+=+x%5E2%2By%5E2


x%5E2%2By%5E2%2By=r


x%5E2%2By%5E2%2By=sqrt%28x%5E2%2By%5E2%29 Since r%5E2+=+x%5E2%2By%5E2, we know r+=+sqrt%28x%5E2%2By%5E2%29

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The answer is x%5E2%2By%5E2%2By=sqrt%28x%5E2%2By%5E2%29