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  2. List of trigonometric identities - Wikipedia

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

    All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them. The reciprocal identities arise as ratios of sides in the triangles where this unit line is no longer the hypotenuse.

  3. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    Solution of triangles (Latin: solutio triangulorum) is the main trigonometric problem of finding the characteristics of a triangle (angles and lengths of sides), when some of these are known. The triangle can be located on a plane or on a sphere. Applications requiring triangle solutions include geodesy, astronomy, construction, and navigation.

  4. Ceva's theorem - Wikipedia

    en.wikipedia.org/wiki/Ceva's_theorem

    In Euclidean geometry, Ceva's theorem is a theorem about triangles. Given a triangle ABC, let the lines AO, BO, CO be drawn from the vertices to a common point O (not on one of the sides of ABC), to meet opposite sides at D, E, F respectively. (The segments AD, BE, CF are known as cevians.) Then, using signed lengths of segments,

  5. Stewart's theorem - Wikipedia

    en.wikipedia.org/wiki/Stewart's_theorem

    Diagram of Stewart's theorem. Let a, b, c be the lengths of the sides of a triangle. Let d be the length of a cevian to the side of length a.If the cevian divides the side of length a into two segments of length m and n, with m adjacent to c and n adjacent to b, then Stewart's theorem states that + = (+).

  6. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    In this right triangle: sin A = a/h; cos A = b/h; tan A = a/b. Trigonometric ratios are the ratios between edges of a right triangle. These ratios depend only on one acute angle of the right triangle, since any two right triangles with the same acute angle are similar. [31]

  7. Fingerprints on Aquaphor lotion bottle lead Memphis police to ...

    www.aol.com/fingerprints-aquaphor-lotion-bottle...

    A woman was arrested on Tuesday after Memphis police found a Aquaphor lotion bottle that connected her to a theft that occurred in December 2023.

  8. New York, Michigan brace for lake-effect snow that could ...

    www.aol.com/news/york-michigan-brace-lake-effect...

    As flakes began flying Friday, New York state forecasters warned 4 to 6 feet of blowing and drifting snow could fall in Watertown and other areas east of Lake Ontario through Monday.

  9. China's Huawei Technologies seeks dismissal of US criminal ...

    www.aol.com/news/chinas-huawei-technologies...

    Huawei Technologies asked a U.S. judge to dismiss much of a federal indictment accusing the Chinese telecommunications company of trying to steal technology secrets from U.S. rivals and misleading ...