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90 degrees =

/2 or about 1.5708
If you go that many digits on the x-axis, there is no point that is determined by the graphed line. This is either called inifinity or undefined.
Other undefined values: 3

/2, 5

/2, 7

/2, -

/2, -3

/2, -5

/2 there are an infinite amount of undefined values.
The undefined values can be given as: (where

is an integer)

/2 +-

k
If the value of a degree is a little below 90 degrees, then the tangent of that angle would be great! If the value of the degree is a little over 90 degrees, then the tangent of that angle would be extremely small (in the negatives.) The graph shows this easily. At

/2, there is no point on the graphed line that results from tan(

/2).
Just look at this piece:

y ~> +

, x ~> +

y ~> -

, x ~> -

A little less than the undefined value of

/2 shows us that

is high. Vise versa for a little more.