Question

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

Answer 1

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=rcosθ
 y=rsinθ

 x=4cosθ
 rcosθ=4cosθ

 3. Solve for r:
 r=4cosθ/cosθ
 r=4

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