How to use the IMCOSH function
Author: Oscar Cronquist Article last updated on November 01, 2022
The IMCOSH function calculates the hyperbolic cosine of a complex number in x + yi or x + yj text format.
The letter j is used in electrical engineering to distinguish between the imaginary value and the electric current.
The hyperbolic cosine of a complex number is calculated like this:
cosh(x + yi) = cosh(x)*cos(y) + isinh(x)*sin(y)
Table of Contents
1. IMCOSH Function Syntax
IMCOSH(inumber)
2. IMCOSH Function Arguments
| inumber | Required. A complex number in x+yi or x+yj text format. |
3. IMCOSH function example
The image above demonstrates a formula in cell D3 that calculates the hyperbole cosine of a complex number specified in cell C3.
Formula in cell D3:
=IMCOSH(C3)
3.1 Explaining formula
Step 1 - Populate arguments
IMCOSH(inumber)
becomes
IMCOSH(C3)
Step 2 - Evaluate the IMCOSH function
IMCOSH(C3)
becomes
IMCOSH("2+2i")
and returns
-1.56562583531574+3.29789483631124i
Functions in this article
Functions in 'Engineering' category
The IMCOSH function function is one of many functions in the 'Engineering' category.
Converts a binary number to the decimal number system.
Converts a binary number to hexadecimal.
Converts a binary number to octal.
Calculates a bitwise 'AND' of two numbers.
Calculates a number whose binary representation is shifted left by a specified number of bits.
Performs a bitwise 'OR' of two numbers.
Calculates the number where the binary equivalent is shifted right by a specified number of bits and then converted back to a number.
Calculates a decimal number that is a result of a bitwise comparison "XOR" of two numbers.
Returns a complex number based on a real and imaginary number.
Converts a number from one measurement system to another.
Converts a decimal number to a binary number.
Converts a decimal number to a hexadecimal number.
Converts a decimal number to an octal number.
Evaluates whether two numerical values are equal.
Converts a hexadecimal number to a binary number.
Converts a hexadecimal number to a decimal number.
Converts hexadecimal to octal.
Calculates the absolute value (modulus) of a complex number in x + yi or x + yj text format.
Calculates the imaginary value of a complex number in x + yi or x + yj text format.
Calculates theta θ which is an angle displayed in radians based on complex numbers in rectangular form.
Calculates the complex conjugate of a complex number in x + yi or x + yj text format.
Calculates the cosine of a complex number in x + yi or x + yj text format.
Calculates the hyperbole cosine of a complex number in x + yi or x + yj text format.
Calculates the cotangent of a complex number in x + yi or x + yj text format.
Calculates the cosecant of a complex number in x + yi or x + yj text format.
Calculates the hyperbolic cosecant of a complex number in x + yi or x + yj text format.
Calculates the quotient of two complex numbers in x + yi or x + yj text format.
Calculates the exponential of a complex number in x + yi or x + yj text format.
Calculates the natural logarithm of a complex number in x + yi or x + yj text format.
Calculates the base 10 logarithm of a complex number in x + yi or x + yj text format.
Calculates the base 2 logarithm of a complex number in x + yi or x + yj text format.
Calculates a complex number raised to a given power in x + yi or x + yj text format.
Calculates the product of complex numbers in x + yi or x + yj text format.
Calculates the real coefficient of a complex number in x + yi or x + yj text format.
Calculates the secant of a complex number in x + yi or x + yj text format.
Calculates the hyperbolic secant of a complex number in x + yi or x + yj text format.
Calculates the sine of a complex number in x + yi or x + yj text format.
Calculates the hyperbolic sine of a complex number in x + yi or x + yj text format.
Calculates the square root of a complex number in x + yi or x + yj text format.
Calculates the difference between two complex numbers in x + yi or x + yj text format.
Calculates the total of two or more complex numbers in x + yi or x + yj text format.
Calculates the tangent of a complex number in x + yi or x + yj text format.
Excel function categories
Excel functions that let you resize, combine, and shape arrays.
Functions for backward compatibility with earlier Excel versions. Compatibility functions are replaced with newer functions with improved accuracy. Use the new functions if compatibility isn't required.
Perform basic operations to a database-like structure.
Functions that let you perform calculations to Excel date and time values.
Let's you manipulate binary numbers, convert values between different numeral systems, and calculate imaginary numbers.
Calculate present value, interest, accumulated interest, principal, accumulated principal, depreciation, payment, price, growth, yield for securities, and other financial calculations.
Functions that let you get information from a cell, formatting, formula, worksheet, workbook, filepath, and other entitites.
Functions that let you return and manipulate logical values, and also control formula calculations based on logical expressions.
These functions let you sort, lookup, get external data like stock quotes, filter values based a condition or criteria, and get the relative position of a given value in a specific cell range. They also let you calculate row, column, and other properties of cell references.
You will find functions in this category that calculates random values, round numerical values, create sequential numbers, trigonometry, and more.
Calculate distributions, binomial distributions, exponential distribution, probabilities, variance, covariance, confidence interval, frequency, geometric mean, standard deviation, average, median, and other statistical metrics.
Functions that let you manipulate text values, substitute strings, find string in value, extract a substring in a string, convert characters to ANSI code among other functions.
Get data from the internet, extract data from an XML string and more.
Excel categories
Latest updated articles.
More than 300 Excel functions with detailed information including syntax, arguments, return values, and examples for most of the functions used in Excel formulas.
More than 1300 formulas organized in subcategories.
Excel Tables simplifies your work with data, adding or removing data, filtering, totals, sorting, enhance readability using cell formatting, cell references, formulas, and more.
Allows you to filter data based on selected value , a given text, or other criteria. It also lets you filter existing data or move filtered values to a new location.
Lets you control what a user can type into a cell. It allows you to specifiy conditions and show a custom message if entered data is not valid.
Lets the user work more efficiently by showing a list that the user can select a value from. This lets you control what is shown in the list and is faster than typing into a cell.
Lets you name one or more cells, this makes it easier to find cells using the Name box, read and understand formulas containing names instead of cell references.
The Excel Solver is a free add-in that uses objective cells, constraints based on formulas on a worksheet to perform what-if analysis and other decision problems like permutations and combinations.
An Excel feature that lets you visualize data in a graph.
Format cells or cell values based a condition or criteria, there a multiple built-in Conditional Formatting tools you can use or use a custom-made conditional formatting formula.
Lets you quickly summarize vast amounts of data in a very user-friendly way. This powerful Excel feature lets you then analyze, organize and categorize important data efficiently.
VBA stands for Visual Basic for Applications and is a computer programming language developed by Microsoft, it allows you to automate time-consuming tasks and create custom functions.
A program or subroutine built in VBA that anyone can create. Use the macro-recorder to quickly create your own VBA macros.
UDF stands for User Defined Functions and is custom built functions anyone can create.
A list of all published articles.
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