Consider the hyperbola. [frac{x^{2}}{4}-y^{2}=1] Calculate its equation after rotation by (mathrm{R}left(90^{circ}, zight)).

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Consider the hyperbola.

\[\frac{x^{2}}{4}-y^{2}=1\]

Calculate its equation after rotation by \(\mathrm{R}\left(90^{\circ}, zight)\).

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