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  2. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.

  3. Sine and cosine - Wikipedia

    en.wikipedia.org/wiki/Sine_and_cosine

    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 ...

  4. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    Such polygons may have any number of sides greater than 1. Two-sided spherical polygons—lunes, also called digons or bi-angles—are bounded by two great-circle arcs: a familiar example is the curved outward-facing surface of a segment of an orange. Three arcs serve to define a spherical triangle, the principal subject of this article.

  5. Mathematical discussion of rangekeeping - Wikipedia

    en.wikipedia.org/wiki/Mathematical_discussion_of...

    Rangekeeping is an excellent example of the application of analog computing to a real-world mathematical modeling problem. Because nations had so much money invested in their capital ships , they were willing to invest enormous amounts of money in the development of rangekeeping hardware to ensure that the guns of these ships could put their ...

  6. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    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.

  7. All the most jaw-dropping wardrobe malfunctions of 2017 -- so far

    www.aol.com/entertainment/2017-06-06-celebrity...

    There have been no shortage of wardrobe malfunctions in 2017, and we have stars like Bella Hadid, Chrissy Teigen and Courtney Stodden to thank for that.

  8. 15 of the biggest sports gambling scandals - AOL

    www.aol.com/sports/15-biggest-sports-gambling...

    In 2006 and months before the World Cup in Germany, Italian football was rocked by the Calciopoli scandal, which implicated several of the country's top clubs, including Juventus, AC Milan ...

  9. Angle - Wikipedia

    en.wikipedia.org/wiki/Angle

    A green angle formed by two red rays on the Cartesian coordinate system. In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. [1] Angles formed by two rays are also known as plane angles as they lie in the plane that contains the rays