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  2. Solution of triangles - Wikipedia

    en.wikipedia.org/wiki/Solution_of_triangles

    Intro to Spherical Trig. Includes discussion of The Napier circle and Napier's rules; Spherical Trigonometry — for the use of colleges and schools by I. Todhunter, M.A., F.R.S. Historical Math Monograph posted by Cornell University Library. Triangulator – Triangle solver. Solve any plane triangle problem with the minimum of input data.

  3. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Trigonometric ratios can also be represented using the unit circle, which is the circle of radius 1 centered at the origin in the plane. [37] In this setting, the terminal side of an angle A placed in standard position will intersect the unit circle in a point (x,y), where x = cos ⁡ A {\displaystyle x=\cos A} and y = sin ⁡ A {\displaystyle ...

  4. Generalized trigonometry - Wikipedia

    en.wikipedia.org/wiki/Generalized_trigonometry

    Ordinary trigonometry studies triangles in the Euclidean plane ⁠ ⁠.There are a number of ways of defining the ordinary Euclidean geometric trigonometric functions on real numbers, for example right-angled triangle definitions, unit circle definitions, series definitions [broken anchor], definitions via differential equations [broken anchor], and definitions using functional equations.

  5. Spherical trigonometry - Wikipedia

    en.wikipedia.org/wiki/Spherical_trigonometry

    Spherical trigonometry is the branch of spherical geometry that deals with the metrical relationships between the sides and angles of spherical triangles, traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations in astronomy, geodesy, and ...

  6. Outline of trigonometry - Wikipedia

    en.wikipedia.org/wiki/Outline_of_trigonometry

    An introduction to trigonometry; Benjamin Banneker's Trigonometry Puzzle at Convergence; Dave's short trig course; Trigonometric Delights, by Eli Maor, Princeton University Press, 1998. Ebook version, in PDF format, full text presented. Trigonometry by Alfred Monroe Kenyon and Louis Ingold, The Macmillan Company, 1914. In images, full text ...

  7. S. L. Loney - Wikipedia

    en.wikipedia.org/wiki/S._L._Loney

    [2] Loney was educated at Maidstone Grammar School, in Tonbridge and at Sidney Sussex College, Cambridge, where he graduated with a B.A. as 3rd Wrangler in 1882. [3] His books on Plane Trigonometry and Coordinate Geometry are very popular among senior high school students in India who are preparing for engineering entrance exams like JEE ...

  8. 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.

  9. Spherical law of cosines - Wikipedia

    en.wikipedia.org/wiki/Spherical_law_of_cosines

    As a special case, for C = ⁠ π / 2 ⁠, then cos C = 0, and one obtains the spherical analogue of the Pythagorean theorem: cos ⁡ c = cos ⁡ a cos ⁡ b {\displaystyle \cos c=\cos a\cos b\,} If the law of cosines is used to solve for c , the necessity of inverting the cosine magnifies rounding errors when c is small.