The question ask me to show that tangent function determines a local homeomorphism $\tan: \mathbb C \to \mathbb C P^1$. I don't understand what the question asking, is the question asking me to show that $\tan:\mathbb C \to \mathbb CP^1$ is a local homeomorphism?
2026-03-30 23:09:38.1774912178
tangent function determines a local homeomorphism
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