What is the Value of Sec 90 Degrees ?

Solution :

The value of sec 90 degrees is or not defined.

Proof :

A of Δ ABC is made large and large until it becomes 90 degrees. As A gets large and large C gets smaller and smaller. Side AB goes on decreasing. The point A gets closer to point B. When C becomes very close to 0 degree. The side AC almost coincide with side BC and side AB becomes to zero.

So, AC = BC and AB = 0

90 degrees

By using trigonometric formulas,

sec90 = hypotenusebase = hb

sec90 = ACAB = AC0 = or not defined

Hence, the value of sec90 = or not defined.

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