How do you tell whether the value of tan 90 degrees is positive, negative, zero or undefined?

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How do you tell whether the value of tan 90 degrees is positive, negative, zero or undefined?

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Answer 1 · 2018-03-07T14:26:03

Undefined

Explanation:

We have:

$tan90^@$

Know that, $tantheta=(sintheta)/(costheta)$

So here, we get

$tan90^@=(sin90^@)/(cos90^@)$

Looking at the trigonometric table, we see that $sin90^@=1,cos90^@=0$ .

![http://www.omtexclasses.com/2011/06/http://trigonometric-table.html](https://useruploads.socratic.org/ws6S61qVTnSs2xNBFWik_Trigonometric%20Table.png)

Therefore,

$tan90^@=1/0$

Since anything divided by $0$ (except $0$ itself) is considered to be undefined, we get that $tan90^@$ is undefined as well.

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How do you tell whether the value of tan 90 degrees is positive, negative, zero or undefined?

1 Answer

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