Tuesday, July 19, 2011

`sinh(3)` Evaluate the function. If the value is not a rational number, round your answer to three decimal places.

`sinh(3)`


Take note that hyperbolic sine is defined as



  • `sinh(x)=(e^x-e^(-x))/2`

Applying this formula, the expression becomes


`= (e^(3)-e^(-3))/2`


`=e^3/2-e^(-3)/2`


Expressing it with positive exponent only, it turns into


`=e^3/2-1/(2e^3)`


This is the exact value of sinh(3).  


Its approximate value is


`~~10.01787492`


Rounding off to three decimal places, it becomes


`~~10.018`



Therefore, ` sinh(3) ~~ 10.018` .

No comments:

Post a Comment

Thomas Jefferson's election in 1800 is sometimes called the Revolution of 1800. Why could it be described in this way?

Thomas Jefferson’s election in 1800 can be called the “Revolution of 1800” because it was the first time in America’s short history that pow...