The value of cot pi/2 is 0. Cot pi/2 radians in degrees is written as cot ((π/2) × 180°/π), i.e., cot (90°). In this article, we will discuss the methods to find the value of cot pi/2 with examples.

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Cot pi/2: 0Cot (-pi/2): 0Cot pi/2 in degrees: cot (90°)

## What is the Value of Cot pi/2?

The value of cot pi/2 is 0. Cot 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∴ cot pi/2 = cot π/2 = cot(90°) = 0 Explanation:

For cot pi/2, the angle pi/2 lies on the positive y-axis. Thus, cot pi/2 value = 0Since the cotangent function is a periodic function, we can represent cot pi/2 as, cot pi/2 = cot(pi/2 + n × pi), n ∈ Z.⇒ cot pi/2 = cot 3pi/2 = cot 5pi/2 , và so on.Note: Since, cotangent is an odd function, the value of cot(-pi/2) = -cot(pi/2) = 0.

## Methods to lớn Find Value of Cot pi/2

The value of cot pi/2 is given as 0. We can find the value of cot pi/2 by:

Using Unit CircleUsing Trigonometric Functions

## Cot pi/2 Using Unit Circle To find the value of cot π/2 using the unit circle:

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

Hence the value of cot pi/2 = x/y = 0

## Cot pi/2 in Terms of Trigonometric Functions

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

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

Note: Since pi/2 lies on the positive y-axis, the final value of cot pi/2 is 0.

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

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

☛ Also Check: ## FAQs on Cot pi/2

### What is Cot pi/2?

Cot pi/2 is the value of cotangent trigonometric function for an angle equal khổng lồ π/2 radians. The value of cot pi/2 is 0.

### How to lớn Find Cot pi/2 in Terms of Other Trigonometric Functions?

Using trigonometry formula, the value of cot pi/2 can be given in terms of other trigonometric functions as:

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

☛ Also check: trigonometry table

### What is the Value of Cot pi/2 in Terms of Cos pi/2?

We know, using trig identities, we can write cot pi/2 as cos(pi/2)/√(1 - cos²(pi/2)). Here, the value of cos pi/2 is equal to 0.

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### How khổng lồ Find the Value of Cot pi/2?

The value of cot pi/2 can be calculated by constructing an angle of π/2 radians with the x-axis, and then finding the coordinates of the corresponding point (0, 1) on the unit circle. The value of cot pi/2 is equal to lớn the x-coordinate(0) divided by the y-coordinate (1). ∴ cot pi/2 = 0

### What is the Value of Cot pi/2 in Terms of Cosec pi/2?

Since the cotangent function can be represented using the cosecant function, we can write cot pi/2 as √(cosec²(pi/2) - 1). The value of cosec pi/2 is equal lớn 1.