The value of tan pi/2 is not defined. Tan pi/2 radians in degrees is written as tan ((π/2) × 180°/π), i.e., tung (90°). In this article, we will discuss the methods to find the value of tung pi/2 with examples.

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Tan pi/2: not definedTan (-pi/2): not definedTan pi/2 in degrees: tan (90°)

## What is the Value of rã pi/2?

The value of tung pi/2 is not defined. Chảy pi/2 can also be expressed using the equivalent of the given angle (pi/2) in degrees (90°).

We know, using radian khổng lồ degree conversion, θ in degrees = θ in radians × (180°/pi)⇒ pi/2 radians = pi/2 × (180°/pi) = 90° or 90 degrees∴ chảy pi/2 = tan π/2 = tan(90°) = not defined

Explanation:

For tan pi/2, the angle pi/2 lies on the positive y-axis. Thus, rã pi/2 value = not definedSince the tangent function is a periodic function, we can represent chảy pi/2 as, rã pi/2 = tan(pi/2 + n × pi), n ∈ Z.⇒ tung pi/2 = tung 3pi/2 = tan 5pi/2 , & so on.Note: Since, tangent is an odd function, the value of tan(-pi/2) = -tan(pi/2) = undefined.

## Methods lớn Find Value of rã pi/2

The value of tung pi/2 is given as not defined. We can find the value of chảy pi/2 by:

Using Trigonometric FunctionsUsing Unit Circle

## Tan pi/2 in Terms of Trigonometric Functions

Using trigonometry formulas, we can represent the rã pi/2 as:

sin(pi/2)/cos(pi/2)± sin(pi/2)/√(1 - sin²(pi/2))± √(1 - cos²(pi/2))/cos(pi/2)± 1/√(cosec²(pi/2) - 1)± √(sec²(pi/2) - 1)1/cot(pi/2)

Note: Since pi/2 lies on the positive y-axis, the final value of chảy pi/2 is not defined.

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We can use trigonometric identities to lớn represent tan pi/2 as,

cot(pi/2 - pi/2) = cot 0-cot(pi/2 + pi/2) = -cot pi-tan (pi - pi/2) = -tan pi/2

## Tan pi/2 Using Unit Circle

To find the value of tan π/2 using the unit circle:

Rotate ‘r’ anticlockwise to size pi/2 angle with the positive x-axis.The tan of pi/2 equals the y-coordinate(1) divided by the x-coordinate(0) of the point of intersection (0, 1) of unit circle and r.

Hence the value of rã pi/2 = y/x = not defined