SINH - Excel - Microsoft Office Online

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SINH

Applies to: Microsoft Office Excel 2003

Returns the hyperbolic sine of a number.

Syntax

SINH(number)

Number is any real number.

Remark

The formula for the hyperbolic sine is:

Equation

Example 1

The example may be easier to understand if you copy it to a blank worksheet.

Show How to copy an example

Create a blank workbook or worksheet.
Select the example in the Help topic.
Note Do not select the row or column headers.

Selecting an example from Help
Press CTRL+C.
In the worksheet, select cell A1, and press CTRL+V.
To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.

1

2
3

A	B
Formula	Description (Result)
=SINH(1)	Hyperbolic sine of 1 (1.175201194)
=SINH(-1)	Hyperbolic sine of -1 (-1.175201194)

Example 2

You can use the hyperbolic sine function to approximate a cumulative probability distribution. Suppose a laboratory test value varies between 0 and 10 seconds. An empirical analysis of the collected history of experiments shows that the probability of obtaining a result, x, of less than t seconds is approximated by the following equation:

P(x<t) = 2.868 * SINH(0.0342 * t), where 0<t<10

To calculate the probability of obtaining a result of less than 1.03 seconds, substitute 1.03 for t.

The example may be easier to understand if you copy it to a blank worksheet.

Show How to copy an example

Create a blank workbook or worksheet.
Select the example in the Help topic.
Note Do not select the row or column headers.

Selecting an example from Help
Press CTRL+C.
In the worksheet, select cell A1, and press CTRL+V.
To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Tools menu, point to Formula Auditing, and then click Formula Auditing Mode.

1

2

A	B
Formula	Description (Result)
=2.868SINH(0.03421.03)	Probability of obtaining a result of less than 1.03 seconds (0.101049063)

You can expect this result to occur about 101 times for every 1000 experiments.