# SINH

Returns the hyperbolic sine of a number.

**Syntax**

**SINH**(**number**)

**Number** is any real number.

The formula for the hyperbolic sine is:

**Examples**

`SINH(1)`

equals 1.175201194

`SINH(-1)`

equals -1.175201194

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:

`2.868*SINH(0.0342*1.03)`

equals 0.101049063

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