vibes6337 vibes6337
  • 31-05-2018
  • Mathematics
contestada

Which is the polar form of the parametric equations x=4 cos theta and y=4 sin theta?

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carlosego
carlosego carlosego
  • 10-06-2018
To solve this problem you must apply the proccedure shown below:

 1. You have the following parametric equations given in the problem above:

 x=4cosθ
 y=4sinθ

 2. Therefore, you have:
 x=rcos
θ
 y=rsin
θ

 x=4cos
θ
 rcosθ=4cosθ

 3. Solve for r:
 r=4cos
θ/cosθ
 r=4

 Therefore, the answer is: r=4 and
 assuming that θ goes from 0 to 2π.
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