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:

${tan 90}^{\circ}$ $tan90^@$

Know that, $tan θ = \frac{sin θ}{cos θ}$ $tantheta=(sintheta)/(costheta)$

So here, we get

${tan 90}^{\circ} = \frac{{sin 90}^{\circ}}{{cos 90}^{\circ}}$ $tan90^@=(sin90^@)/(cos90^@)$

Looking at the trigonometric table, we see that ${sin 90}^{\circ} = 1, {cos 90}^{\circ} = 0$ $sin90^@=1,cos90^@=0$ .

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

Therefore,

${tan 90}^{\circ} = \frac{1}{0}$ $tan90^@=1/0$

Since anything divided by $0$ $0$ (except $0$ $0$ itself) is considered to be undefined, we get that ${tan 90}^{\circ}$ $tan90^@$ 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

Explanation:

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