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Machine translation, like DeepL or Google Translate, is a useful starting point for translations, but translators must revise errors as necessary and confirm that the translation is accurate, rather than simply copy-pasting machine-translated text into the English Wikipedia.
Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
This is an accepted version of this page This is the latest accepted revision, reviewed on 28 September 2024. American singer (born 1981) Ray J Norwood in 2011 Born William Ray Norwood Jr. (1981-01-17) January 17, 1981 (age 43) McComb, Mississippi, U.S. Occupations Singer songwriter rapper television presenter actor entrepreneur Years active 1989–present Works Discography filmography ...
[1] [10] Another precarious convention used by a small number of authors is to use an uppercase first letter, along with a “ −1 ” superscript: Sin −1 (x), Cos −1 (x), Tan −1 (x), etc. [11] Although it is intended to avoid confusion with the reciprocal, which should be represented by sin −1 (x), cos −1 (x), etc., or, better, by ...
The oldest evidence for the worship of Sin in Harran might be an inscription of Naram-Suen of Eshnunna dated to the late nineteenth century BCE, though its reading remains uncertain, and it is generally assumed the earliest unambiguous references to "Sin of Harran" (d EN.ZU ša ḫa-ar-ra-nim ki) occur in texts from Mari from the reign of Zimri ...
Sin, also called Tsumi, is anything that makes people impure (i.e. anything that separates them from the kami). [39] However, Shinto does not believe this impurity is the result of human actions, but rather the result of evil spirits or other external factors. [38] [39] Sin can have a variety of consequences in Japan, including disaster and ...