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:
“If the relationship of father to son could really be reduced to biology, the whole earth would blaze with the glory of fathers and sons.”
—James Baldwin (1924–1987)
“The function of literature, through all its mutations, has been to make us aware of the particularity of selves, and the high authority of the self in its quarrel with its society and its culture. Literature is in that sense subversive.”
—Lionel Trilling (1905–1975)