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.