Hyperbolic Function - Relationship To The Exponential Function

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 to, relationship and/or function:

    Poetry is above all a concentration of the power of language, which is the power of our ultimate relationship to everything in the universe.
    Adrienne Rich (b. 1929)

    Strange and predatory and truly dangerous, car thieves and muggers—they seem to jeopardize all our cherished concepts, even our self-esteem, our property rights, our powers of love, our laws and pleasures. The only relationship we seem to have with them is scorn or bewilderment, but they belong somewhere on the dark prairies of a country that is in the throes of self-discovery.
    John Cheever (1912–1982)

    No one, however powerful and successful, can function as an adult if his parents are not satisfied with him.
    Frank Pittman (20th century)