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Contains the trigonometric formula sin(n + 1)x − sin nx = sin nx − sin(n − 1)x − (1/225)sin nx. Spherical trigonometry. Arithmetic: Simple continued fractions. Algebra: Solutions of simultaneous quadratic equations. Whole number solutions of linear equations by a method equivalent to the modern method.
The All India Senior School Certificate Examination (AISSCE) also called Class 12 Board Exams in common language, is the final examination conducted every year for high school students by the Central Board of Secondary Education on behalf of the Government of India. [1] [2]
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value
The roots of a polynomial expression of degree n, or equivalently the solutions of a polynomial equation, can always be written as algebraic expressions if n < 5 (see quadratic formula, cubic function, and quartic equation). Such a solution of an equation is called an algebraic solution.
The formula as enunciated in the 1968 National Policy Resolution which provided for the study of "Hindi, English and modern Indian language (preferably one of the southern languages) in the Hindi speaking states and Hindi, English and the Regional language in the non-Hindi speaking States". [3] The formula was formulated in response to demands ...
The quadratic formula, which concisely expresses the solutions of all quadratic equations The Rubik's Cube group is a concrete application of group theory. [26] Algebra is the art of manipulating equations and formulas. Diophantus (3rd century) and al-Khwarizmi (9th century) were the two main precursors of algebra.
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It is assumed that the value of a function f defined on [,] is known at + equally spaced points: < < <.There are two classes of Newton–Cotes quadrature: they are called "closed" when = and =, i.e. they use the function values at the interval endpoints, and "open" when > and <, i.e. they do not use the function values at the endpoints.