Documentation/Calc Functions/COT

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COT

Mathematical

Summary:

Returns the cotangent of the given angle (in radians).

COT(Number)

Returns:

Returns the (trigonometric) cotangent of Number, the angle in radians. The resultant value ranges from -∞ and +∞, i.e. (-∞,+∞).

Arguments:

Number is the real number,or a reference to a cell containing that number, which is the angle in radians whose cotangent value is to be calculated.

If Number is 0, COT of 0 is not defined hence the function returns a numeric error(#NUM!) value.

• The cotangent of an angle is equivalent to 1 divided by the tangent of that angle.
• Mathematically, cotangent of multiple of π, i.e. {......-2π,-π,0,+π,+2π.....} is undefined but the PI() function uses an approximate value of π hence the function doesn't return any error value except for 0.
• To insert an angle in degrees, either multiply the angle by PI()/180 or use the RADIANS function to convert the angle to radians.

The figure below illustrates the function COT.

COT function

Examples:

Formula Description Returns
=COT(1) cotangent of 1 radian 0.642092615934331
=COT(PI()/4) cotangent of PI/4 or π/4 radians 1
=COT(RADIANS(60)) cotangent of 60° by first converting angle in degrees to radians 0.577350269189626

COT