How to Use the IMCOSH Function in Excel

Today, we’ll delve into the IMCOSH function available in both Excel and Google Sheets. IMCOSH is designed to compute the hyperbolic cosine of a complex number expressed in the form x + yi, returning the outcome as a complex number in the same format. This guide will break down how to effectively utilize this function in either application.

Syntax

The IMCOSH function follows the same syntax in Excel and Google Sheets:

=IMCOSH(inumber)
  • inumber: The complex number in x + yi format for which the hyperbolic cosine is to be calculated.

Examples

To better understand the application of the IMCOSH function, let’s look at some practical examples.

Example 1

Calculate the hyperbolic cosine of the complex number 2 + 3i.

Excel / Google Sheets Formula Result
=IMCOSH(2+3i) Returns a complex number in x + yi format.

Example 2

Calculate the hyperbolic cosine of the complex number -4 + 5i.

Excel / Google Sheets Formula Result
=IMCOSH(-4+5i) Returns a complex number in x + yi format.

These examples illustrate the use of the IMCOSH function to compute the hyperbolic cosine of complex numbers effectively in Excel and Google Sheets.

Keep in mind that when dealing with complex numbers, the results often involve both real and imaginary components. Therefore, ensure your cells are formatted correctly to display complex numbers properly.

More information: https://support.microsoft.com/en-us/office/imcosh-function-053e4ddb-4122-458b-be9a-457c405e90ff

Other functions
Returns the modified Bessel function In(x)
Returns the Bessel function Jn(x)
Returns the modified Bessel function Kn(x)
Returns the Bessel function Yn(x)
Converts a binary number to decimal
Converts a binary number to hexadecimal
Converts a binary number to octal
Returns a 'Bitwise And' of two numbers
Returns a value number shifted left by shift_amount bits
Returns a bitwise OR of 2 numbers
Returns a value number shifted right by shift_amount bits
Returns a bitwise 'Exclusive Or' of two numbers
Converts real and imaginary coefficients into a complex number
Converts a number from one measurement system to another
Converts a decimal number to binary
Converts a decimal number to hexadecimal
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Tests whether two values are equal
Returns the error function
Returns the error function
Returns the complementary error function
Returns the complementary ERF function integrated between x and infinity
Tests whether a number is greater than a threshold value
Converts a hexadecimal number to binary
Converts a hexadecimal number to decimal
Converts a hexadecimal number to octal
Returns the absolute value (modulus) of a complex number
Returns the imaginary coefficient of a complex number
Returns the argument theta, an angle expressed in radians
Returns the complex conjugate of a complex number
Returns the cosine of a complex number
Returns the cotangent of a complex number
Returns the cosecant of a complex number
Returns the hyperbolic cosecant of a complex number
Returns the quotient of two complex numbers
Returns the exponential of a complex number
Returns the natural logarithm of a complex number
Returns the base-10 logarithm of a complex number
Returns the base-2 logarithm of a complex number
Returns a complex number raised to an integer power
Returns the product of complex numbers
Returns the real coefficient of a complex number
Returns the secant of a complex number
Returns the hyperbolic secant of a complex number
Returns the sine of a complex number
Returns the hyperbolic sine of a complex number
Returns the square root of a complex number
Returns the difference between two complex numbers
Returns the sum of complex numbers
Returns the tangent of a complex number
Converts an octal number to binary
Converts an octal number to decimal
Converts an octal number to hexadecimal