SINH function

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.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
 
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.

ShowHow to copy an example

  1. Create a blank workbook or worksheet.
  2. Select the example in the Help topic.

 Note   Do not select the row or column headers.

Selecting an example from Help

Selecting an example from Help
  1. Press CTRL+C.
  2. In the worksheet, select cell A1, and press CTRL+V.
  3. To switch between viewing the results and viewing the formulas that return the results, press CTRL+` (grave accent), or on the Formulas tab, in the Formula Auditing group, click the Show Formulas button.
 
1
2
A B
Formula Description (Result)
=2.868*SINH(0.0342*1.03) 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.

 
 
Applies to:
Excel 2007