Finding the polar equation

  • Thread starter ThiagoG
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  • #1
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Homework Statement


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

y=1+3x

Homework Equations


x2+y2=r2
x=Rcos(θ)
y=Rsin(θ)

The Attempt at a Solution


(1+3x)2+x2=r2
1+6x+10x2=r2
1+6rcos(θ)+10r2cos2(Θ)=r2
 

Answers and Replies

  • #2
HallsofIvy
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Why are you squaring? This will give you a relation between [itex]x^2[/itex] and [itex]y^2[/itex], not x and y, and so not the original equation. Just replace "x" with [itex]r cos(\theta)[/itex] and "y" with [itex]r sin(\theta)[/itex] in the original equations.
 
  • #3
15
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Why are you squaring? This will give you a relation between [itex]x^2[/itex] and [itex]y^2[/itex], not x and y, and so not the original equation. Just replace "x" with [itex]r cos(\theta)[/itex] and "y" with [itex]r sin(\theta)[/itex] in the original equations.

Oh thank makes a lot of sense. Thank you.
 

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