# Hyperbolic Functions in Excel: A Complete Guide

Excel has built-in functions for quickly and simply calculating hyperbolic values. All of Excel’s hyperbolic functions are illustrated below with suitable examples.

## Hyperbolic Functions in Excel

Let’s get right into the different hyperbolic functions in Excel without any further ado. You can also check out our other tutorials on Trigonometric functions if you’re interested in learning about them.

### 1. SINH function

Excel’s SINH function calculates the hyperbolic sine value of a number.

Syntax: SINH(number), where number is any real number. Mathematical formula: sinh(x) = (ex – e-x)/2. To determine the hyperbolic sine of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =SINH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 2. COSH function

The COSH function in Excel calculates the hyperbolic cosine value of a number. Syntax: COSH(number), where number is any real number. Mathematical formula: cosh(x) = (ex + e-x)/2. To determine the hyperbolic cosine of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =COSH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 3. TANH function

The TANH function in Excel calculates the hyperbolic tangent value of a number.

Syntax: TANH(number), where number is any real number.

Mathematical formula: tanh(x) = (ex – e-x)/(ex + e-x). To determine the hyperbolic tangent of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =TANH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 4. COTH function

The COTH function in Excel calculates the hyperbolic cotangent value of a number.

Syntax: COTH(number), where number is any real number. Mathematical formula: coth(x) = (ex + e-x)/(ex – e-x). To determine the hyperbolic cotangent of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =COTH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 5. SECH function

The SECH function in Excel calculates the hyperbolic secant value of a number.

Syntax: SECH(number), where number is any real number. Mathematical formula: sech(x) = 2/(ex + e-x). To determine the hyperbolic secant of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =SECH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 6. CSCH function

The CSCH function in Excel calculates the hyperbolic cosecant value of a number. Syntax: CSCH(number), where number is any real number. Mathematical formula: tanh(x) = 2/(ex – e-x). To determine the hyperbolic cosecant of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =CSCH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 7. ASINH function

Excel’s ASINH function calculates the inverse hyperbolic sine value of a number.

Syntax: ASINH(number), where number is any real number. To determine the inverse hyperbolic sine of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =ASINH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 8. ACOSH function

The ACOSH function in Excel calculates the inverse hyperbolic cosine value of a number.

Syntax: ACOSH(number), where number is any real number greater than or equal to 1. To determine the inverse hyperbolic cosine of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =ACOSH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 9. ATANH function

The ATANH function in Excel calculates the inverse hyperbolic tangent value of a number.

Syntax: ATANH(number), where number is any real number between -1 and 1 (excluding -1 and 1). To determine the inverse hyperbolic tangent of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =ATANH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.

### 10. ACOTH function

The ACOTH function in Excel calculates the inverse hyperbolic cotangent value of a number.

Syntax: ACOTH(number), where number is any real number whose absolute value must be greater than 1. To determine the inverse hyperbolic cotangent of a real number, follow these steps:

• Select the cell where you want to display the result.
• Type =ACOTH(, select the cell containing the number and complete the formula with ).
• Press the Enter key to display the result.