SOLUTION: Find the Polar form of the Cartesian equation y=(1/2x). Express answer as r=f(theta)

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Question 751296: Find the Polar form of the Cartesian equation y=(1/2x).
Express answer as r=f(theta)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming you mean

y=1%2F%282x%29


we can write

%0D%0A2yx=1%0D%0A
then
%0D%0A2%2A%28r%2Asin%28theta%29%29%2A%28r%2Acos%28theta%29%29=1%0D%0A
then
%0D%0Ar%5E2%282sin%28theta%29cos%28theta%29%29=1%0D%0A
%0D%0Ar%5E2%2Asin%282%2Atheta%29=1%0D%0A

and finally
%0D%0Ar%28theta%29=sqrt%28csc%282%2Atheta%29%29%0D%0A


:)