Because it tends to infinity.
Additionally, tangent can be expressed as sin theta divided by cos theta. The sine of 90 is 1. The cosine of 90 is 0. That would be 1 divided by 0, or division by zero; which is undefined.
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It is 90 degrees between the circle's diameter and its tangent
The tangent of 75 degrees is: 3.7320507852401
90 degrees. QED.
Tangent is 0.5317
Although you haven't expressed it too clearly in your question, I think what you may belooking for is the angle whose tangent is 4,900, and the angle whose tangent is 19,600 .The problem is that the tangent of 89 degrees is about 57.3, and every numberfrom 57.3 all the way up to 'infinity' is the tangent of an angle somewhere in thatlast degree, between 89 and 90 . . . They really bunch up in there !4,900 is the tangent of 89.9883 degrees. (rounded)19,600 is the tangent of 89.9971 degrees. (rounded)