Statement of The Identity
See also: Trigonometric functions and List of trigonometric identitiesMathematically, 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 (18591952)
“Eroticism has its own moral justification because it says that pleasure is enough for me; it is a statement of the individuals sovereignty.”
—Mario Vargas Llosa (b. 1936)
“He that writes to himself writes to an eternal public. That statement only is fit to be made public, which you have come at in attempting to satisfy your own curiosity.”
—Ralph Waldo Emerson (18031882)
“The modern world needs people with a complex identity who are intellectually autonomous and prepared to cope with uncertainty; who are able to tolerate ambiguity and not be driven by fear into a rigid, single-solution approach to problems, who are rational, foresightful and who look for facts; who can draw inferences and can control their behavior in the light of foreseen consequences, who are altruistic and enjoy doing for others, and who understand social forces and trends.”
—Robert Havighurst (20th century)