Question

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

Answer 1

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`.


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.