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 the, relationship and/or function:

    ... the Wall became a magnet for citizens of every generation, class, race, and relationship to the war perhaps because it is the only great public monument that allows the anesthetized holes in the heart to fill with a truly national grief.
    Adrienne Rich (b. 1929)

    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)

    The more books we read, the clearer it becomes that the true function of a writer is to produce a masterpiece and that no other task is of any consequence.
    Cyril Connolly (1903–1974)