`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