Find a polar equation for the curve represented by the Cartesian equation

FobelloE

FobelloE

Answered question

2021-09-18

Find a polar equation for the curve represented by the Cartesian equation:
x2y2=4

Answer & Explanation

Brittany Patton

Brittany Patton

Skilled2021-09-19Added 100 answers

Step 1
The Cartesian equation for the variables x and y are,
x=rcos0
y=rsin0
Step 2
Now substitute the values of x and y in the given equation as follows.
(rcos0)2(rsin0)2=4
r2(cos20sin20)=4
r2cos20=4
r=4cos20=2cos0
Thus, the polar equation for the given Cartesian equation is r=2cos0.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-27Added 2605 answers

Answer is given below (on video)

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