Relationship To The Exponential Function
From the definitions of the hyperbolic sine and cosine, we can derive the following identities:
and
These expressions are analogous to the expressions for sine and cosine, based on Euler's formula, as sums of complex exponentials.
Read more about this topic: Hyperbolic Function
Famous quotes containing the words relationship and/or function:
“It would be a fallacy to deduce that the slow writer necessarily comes up with superior work. There seems to be scant relationship between prolificness and quality.”
—Fannie Hurst (18891968)
“... The states one function is to give.
The bud must bloom till blowsy blown
Its petals loosen and are strown;
And thats a fate it cant evade
Unless twould rather wilt than fade.”
—Robert Frost (18741963)