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  2. List of calculus topics - Wikipedia

    en.wikipedia.org/wiki/List_of_calculus_topics

    Substitution (trigonometric, tangent half-angle, Euler) Euler's formula; Partial fractions (Heaviside's method) Changing order; Reduction formulae; Differentiating under the integral sign; Risch algorithm

  3. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Although written in the form of proposition, an equation is not a statement that is either true or false, but a problem consisting of finding the values, called solutions, that, when substituted for the unknowns, yield equal values of the expressions A and B. For example, 2 is the unique solution of the equation x + 2 = 4, in which the unknown ...

  4. Mathematics education in the United States - Wikipedia

    en.wikipedia.org/wiki/Mathematics_education_in...

    The new Floridian standards also promote financial literacy and emphasize how different mathematical topics from different grade levels are connected. [67] In Utah, the final required mathematics course in high school incorporates elements of Algebra II, Trigonometry, Precalculus, and Data Science.

  5. 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.

  6. Additional Mathematics - Wikipedia

    en.wikipedia.org/wiki/Additional_Mathematics

    A new Additional Maths course from 2018 is OCR Level 3 FSMQ: Additional Maths (6993). [6] In addition to algebra, coordinate geometry, Pythagorean theorem, trigonometry and calculus, which were on the previous specification, this course also includes:

  7. Trigonometry - Wikipedia

    en.wikipedia.org/wiki/Trigonometry

    Trigonometry (from Ancient Greek τρίγωνον (trígōnon) 'triangle' and μέτρον (métron) 'measure') [1] is a branch of mathematics concerned with relationships between angles and side lengths of triangles.

  8. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    The six trigonometric functions are defined for every real number, except, for some of them, for angles that differ from 0 by a multiple of the right angle (90°). Referring to the diagram at the right, the six trigonometric functions of θ are, for angles smaller than the right angle:

  9. 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 ...