Pythagorean Trigonometric Identity - Statement of The Identity

Statement of The Identity

See also: Trigonometric functions and List of trigonometric identities

Mathematically, the Pythagorean identity states:

(Note that sin2 θ means (sin θ)2). This relation between sine and cosine is sometimes called the fundamental Pythagorean trigonometric identity.

If the length of the hypotenuse of a right triangle is 1, then the lengths of the legs are the sine and cosine of one of the angles. Therefore, this trigonometric identity follows from the Pythagorean theorem.

Read more about this topic:  Pythagorean Trigonometric Identity

Famous quotes containing the words statement of the, statement of, statement and/or identity:

    It is commonplace that a problem stated is well on its way to solution, for statement of the nature of a problem signifies that the underlying quality is being transformed into determinate distinctions of terms and relations or has become an object of articulate thought.
    John Dewey (1859–1952)

    Truth is used to vitalize a statement rather than devitalize it. Truth implies more than a simple statement of fact. “I don’t have any whisky,” may be a fact but it is not a truth.
    William Burroughs (b. 1914)

    The new statement is always hated by the old, and, to those dwelling in the old, comes like an abyss of skepticism.
    Ralph Waldo Emerson (1803–1882)

    Unlike Boswell, whose Journals record a long and unrewarded search for a self, Johnson possessed a formidable one. His life in London—he arrived twenty-five years earlier than Boswell—turned out to be a long defense of the values of Augustan humanism against the pressures of other possibilities. In contrast to Boswell, Johnson possesses an identity not because he has gone in search of one, but because of his allegiance to a set of assumptions that he regards as objectively true.
    Jeffrey Hart (b. 1930)