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List of trigonometric identities. Appearance. hide. In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.
Taylor Alison Swift (born December 13, 1989) is an American singer-songwriter. A subject of widespread public interest with a vast fanbase, she has influenced the music industry, popular culture, and politics through her songwriting, artistry, entrepreneurship, and advocacy. Swift began professional songwriting at 14.
In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 has the result 0, and consequently, division by zero has no meaning in arithmetic .
In mathematics, the Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted Fn .
Top videos. The following table lists the top 30 most-viewed videos on YouTube, with each total rounded to the nearest 10 million views, uploader, and publication date. Note that some videos may not be available worldwide due to regional restrictions in certain countries. [6]
Appearance. hide. In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola.
The United States of America is a federal republic [1] consisting of 50 states, a federal district ( Washington, D.C., the capital city of the United States), five major territories, and various minor islands. [2] [3] Both the states and the United States as a whole are each sovereign jurisdictions. [4]
Albert Einstein ( / ˈaɪnstaɪn / EYEN-styne; [4] German: [ˈalbɛɐt ˈʔaɪnʃtaɪn] ⓘ; 14 March 1879 – 18 April 1955) was a German-born theoretical physicist who is widely held to be one of the greatest and most influential scientists of all time.
About 68% of values drawn from a normal distribution are within one standard deviation σ away from the mean; about 95% of the values lie within two standard deviations; and about 99.7% are within three standard deviations. [6] This fact is known as the 68–95–99.7 (empirical) rule, or the 3-sigma rule .
NATO has 12 original founding member states. Three more members joined between 1952 and 1955, and a fourth joined in 1982. Since the end of the Cold War, NATO has added 16 more members from 1999 to 2024. [2] NATO currently recognizes Bosnia and Herzegovina, Georgia, and Ukraine as aspiring members as part of their Open Doors enlargement policy. [3]
