# Manuals/calci/COTAN

COTAN(Number)

• Number is the angle value in Radians.
• COTAN() returns the cotangent of the given angle
• by default, Calci use Radian as angle

DCOTAN can be used if the angle is in Degrees.

The angle can be a single value or any complex array of values.

For example COTAN(1..100) can give an array of the results, which is the COTAN value for each of the elements in the array. The array could be of any values either '+' or '-' like 1..5@COTAN or (-5)..(-1)@COTAN.

## Description

Consider     x = 45    then     =COTAN(RADIANS(45))    gives    1.0000000000000002 that is approximate to 1
The above function gives the Cotangent of 'x' in Degree.

• Cotan function gives the Cotangent of angle 'x'.
• This function is the reciprocal of TAN function. i.e, Cotan(x) = 1 / Tan(X).
• In a right angled triangle, COTAN = Adjacent Side / Opposite side or COS / SIN.
• By default, Calci takes the angle in Radians.
• To convert Radians to Degrees multiply with 180/PI() or we have to use the Radians function COTAN(RADIANS(x)) or DCOTAN(x).
• COTAN(RADIANS(90))= 6.123031769111886e-17 ie, approximately = 0. So for calculation we consider COTAN(RADIANS(90))=0

The following example shows how COTAN is applied to an array of numbers containing angles 1..10.

1..10@COTAN

Angles COTAN
1 0.642092616
2 -0.457657554
3 -7.015252551
4 0.863691154
5 -0.295812916
6 -3.436353004
7 1.147515422
8 -0.147065064
9 -2.210845411
10 1.542351045

## Examples

COTAN(x)

• x   is the angle in radians.
• COTAN(-x) = -COTAN(x)
 COTAN(Radian) Value COTAN(0) Infinity COTAN(1) 0.642092615 COTAN(90) -0.501202783

Cotangent