Parametric Equation Homework: Halfway Around Circle

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Homework Statement



Find parametric equations for the path of a particle that moves around the given circle in the manner described.

x^2 + (y-2)^2 =4


Homework Equations


halfway around counterclockwise, starting at (0,4).
x(t)= ?
y(t)= ?


The Attempt at a Solution



unsure where to begin...
 
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a(sin2θ+cos2θ)=a

is what you want to have happening with your parametric equation here. So what is x(θ) and y(θ) ?
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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