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, statement and/or identity:

    “Eroticism has its own moral justification because it says that pleasure is enough for me; it is a statement of the individual’s sovereignty.”
    —Mario Vargas Llosa (b. 1936)

    “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)

    “No other group in America has so had their identity socialized out of existence as have black women.... When black people are talked about the focus tends to be on black men; and when women are talked about the focus tends to be on white women.”
    —bell hooks (b. c. 1955)