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Write a Parameterization for One Branch of the Following Hyperbola y24(x1)2=1,y>0\frac{y^{2}}{4}-(x-1)^{2}=1, y>0

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Write a parameterization for one branch of the following hyperbola using hyperbolic functions:
y24(x1)2=1,y>0\frac{y^{2}}{4}-(x-1)^{2}=1, y>0

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