Replace the polar equation with equivalent Cartesian equations. (x+2)^{2}

Trent Carpenter

Trent Carpenter

Answered question

2021-09-20

Replace the polar equation with equivalent Cartesian equations. (x+2)2+(y5)2=16

Answer & Explanation

Alix Ortiz

Alix Ortiz

Skilled2021-09-21Added 109 answers

Step 1
Given
(x+2)2+(y5)2=16
Step 2
Simplify the given equation;
(x+2)2+(y5)2=16
x2+4x+4+y210y+25=16
x2+y2+4x10y+13=0
Convert the equation into the polar equation by using some results;
Substitute r2 for x2+y2,rcosθ for x,rsinθ for y.
x2+y2+4x10y+13=0
r2+4rcos010rsin0+13=0
r2=10rsin04rcos013

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-27Added 2605 answers

Answer is given below (on video)

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