zeroes of tan function

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Currently in preparation for an exam on Separation of variables for PDEs.

And I might have conveniently forgotten the zeroes of tan.

Can I confirm that the zeroes are located at $n\pi$ where $n$ is an integer?

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2 Answers

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You are correct the zeros of $\tan$ are $n\pi$ for $n\in \mathbb{Z}$.

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You are right. Zeros of $\tan x$ exist when $\sin x = 0$. This happens when $x = n\pi$ for all $n\in \mathbb{Z}$.

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