# Cotangent Calculator

Write value of the angle, select the angle type: degree or radian, and press calculate button to find value of cotangent angle.

## Cotangent Calculator

Cotangent calculator is a tool that is used to find the value of the cotangent function by just entering the value of the angle and hitting the calculate button.

## What is the Cotangent Function?

The cotangent function is the trigonometric function that is used to determine the angle value of a right-angled triangle. It is defined as the ratio of the measurement of the adjacent side to the measurement of the opposite side.

In terms of trigonometric functions stated as the fraction of cosine and sine. It is also defined are defined as the reciprocal of the tangent function.

It gives the undefined value at a certain angle value such as 00, 1800, or 3600, and generally can be written as “`nπ`” where “`n ϵ Z`”.

The notation used for the cotangent function is “Cot α” and its mathematical formula can be stated as,

`Cotα = Cosα/Sinα `

Where,

• `α` = represents the value of the angle
• `Cosα` = shows the value of the cosine function
• `Sinα` = shows the value Sine function

## Graphical representation of the Cotangent Function:

Its graphical representation represents its periodicity and gives information about the vertical asymptote. Moreover, it gives information about where the value of the cotangent function is undefined and after completing every 1800 circles, it gives the same value.

## How to calculate the cotangent value?

Use our cotangent calculator to determine the value of the cotangent function quickly. Here, we solved some examples to explain how to find cotangent manually.

Example 1

Find the value of the cotangent in terms of degree if the value of the angle is “`500`”.

Solution

Step 1:

Write the value of the angle.

α = 500,    Cot α=?

Step 2:

Put the values of the given angle in the cotangent formula.

`Cotα = Cosα/Sinα `

= Cos (50)/Sin (50)

= 0.6428/0.766

`Cotα = 0.83900`

Example 2

If the value of the angle is “`90`” then determine the value of the cotangent in terms of radians.

Solution

Step 1:

Write the value of the angle.

α = 90,    Cot α=?

Step 2:

Put the values of the given angle in the cotangent formula.

`Cotα = Cosα/Sinα `

= Cos (90)/Sin (90)

`Cotα = -0.5012`