What is the value of θ, if x = 2(θ − sen θ)

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Homework Statement



How may I convert this from parametric to cartesian equation?

Homework Equations



x = 2(θ − sen θ)
y = 2(1 − cos θ)

The Attempt at a Solution



I have a problem finding θ from x = 2(θ − sen θ), I don't know how to do it..
 
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sen θ?

Express the trigonometric part in terms of the variables. Then use trigonometric identity.
 
What is sen θ?
Do you mean sin(θ)?
 
Seno = sine in Spanish, as well as Italian and Piedmontese according to Wikipedia.
 
dako said:

Homework Statement



How may I convert this from parametric to cartesian equation?

Homework Equations



x = 2(θ − sen θ)
y = 2(1 − cos θ)

The Attempt at a Solution



I have a problem finding θ from x = 2(θ − sen θ), I don't know how to do it..
Solve for θ in terms of y, then plug that into the equation for x. It's still not pretty.
 
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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