[Math] Value of tan(pi/2)

analysistrigonometry

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I understand that this is a very stupid question but I'm not getting the answer.

At $x=\pi/2$, what is the value of $tan(x)$? Should it be $-\infty$ or $+\infty$?

Text tells it to be $+\infty$. But why?

Geometrically thinking, it comes out to be $+\infty$. But how to explain the graph which has both the values at $\pi/2$?

Best Answer

It shouldn't be anything because it's not defined there.

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