Simplifying the Parameter Elimination for X=sin(t) and y=csc(x)

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Homework Statement



Eliminate the parameter to find a Cartesian equation for the curve.
X=sin(t), y=csc(x)

Homework Equations





The Attempt at a Solution


Is this correct?
X=sin(t)
Arcsin(x)=t
So y=csc(arcsin(x)

Can I simplify it further?
 
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is the second equation a typo: x=sin(t), y=csc(x) should it be y=csc(t)?

from your substitution it appears that is what you think it is.
 

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