Parameterize an intersection between a cylinder and plane z=0

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Homework Statement
Help with parameterize the intersection as shown in the figure
Relevant Equations
x^2+y^2=4 and z=0
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Attempt.jpg
 
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FactChecker said:
You say that you are going clockwise, but your arrows and equations look counterclockwise.
Other than that, it looks ok to me. Shouldn't all those 'sen's be 'sin's?
Oh my bad i was copying my notes into that picture so that it would be easier to understand them and messed up those arrows, yes they should be going clockwise. anyways, i type "sen" because i speak spanish, sorry about that.

So those are the values i should substitute in that integral?
 
FactChecker said:
Your y(t) equation will make it go around counterclockwise.
I think i get it now, thank you so much