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  2. Trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_functions

    The trigonometric functions most widely used in modern mathematics are the sine, the cosine, and the tangent functions. Their reciprocals are respectively the cosecant, the secant, and the cotangent functions, which are less used. Each of these six trigonometric functions has a corresponding inverse function, and an analog among the hyperbolic ...

  3. Hypotenuse - Wikipedia

    en.wikipedia.org/wiki/Hypotenuse

    Hypotenuse. In geometry, a hypotenuse is the side of a right triangle opposite the right angle. [1] It is the longest side of any such triangle; the two other shorter sides of such a triangle are called catheti or legs. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the ...

  4. Pythagorean theorem - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_theorem

    In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

  5. Mathematics education - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education

    The New Math method was the topic of one of Tom Lehrer's most popular parody songs, with his introductory remarks to the song: "...in the new approach, as you know, the important thing is to understand what you're doing, rather than to get the right answer." Recreational mathematics: mathematical problems that are fun can motivate students to ...

  6. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    Mathematics is essential in the natural sciences, engineering, medicine, finance, computer science, and the social sciences. Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent of any scientific experimentation.

  7. List of limits - Wikipedia

    en.wikipedia.org/wiki/List_of_limits

    If is expressed in radians: ⁡ = ⁡ ⁡ = ⁡ These limits both follow from the continuity of sin and cos. ⁡ =. [7] [8] Or, in general, ⁡ =, for a not equal to 0. ⁡ = ⁡ =, for b not equal to 0.

  8. Differentiation rules - Wikipedia

    en.wikipedia.org/wiki/Differentiation_rules

    These rules are given in many books, both on elementary and advanced calculus, in pure and applied mathematics. Those in this article (in addition to the above references) can be found in: Mathematical Handbook of Formulas and Tables (3rd edition), S. Lipschutz, M.R. Spiegel, J. Liu, Schaum's Outline Series, 2009, ISBN 978-0-07-154855-7.

  9. Trigonometric integral - Wikipedia

    en.wikipedia.org/wiki/Trigonometric_integral

    Trigonometric integral. Plot of the hyperbolic sine integral function Shi (z) in the complex plane from −2 − 2i to 2 + 2i. Si (x) (blue) and Ci (x) (green) shown on the same plot. Integral sine in the complex plane, plotted with a variant of domain coloring. Integral cosine in the complex plane.

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