We have to find the value of tan Π/2
Tangent function denotes that for a given right-angled triangle, the tan of angle θ is equal to the ratio of the opposite side to the angle, and adjacent side or base.
Tan θ = Opposite Side/Adjacent Side
We can also represent the tangent function as the ratio of the sine function and cosine function.
∴ Tan θ = Sin θ /Cos θ
We know that Π= 180º
tan 90 degrees in terms of ratio is,
Tan 90° = Sin 900 / Cos90°
From the trigonometric table, we know,
Sin 90° = 1
Cos 90° = 0
∴ Tan 90°= 1/0 = Undefined
That means, we cannot define Tan 900 value.
tan Π/2= undefined