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

Tuesday, May 21, 2013

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

y=1%2F%282x%29

we can write

%0D%0A2yx=1%0D%0A

%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

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

:)

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