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Trigonometric functions

Trigonometric Functions
Trigonometry is composed of two words: Trigon and Metron. Trigon means ‘triangle’ and metron means ‘to measure’. Combined, it means measuring sides or angles of a triangle and that is what trigonometry precisely is. It is the study of angles of triangles and relationships between them. Trigonometric Functions can be defined as ‘The functions which help us relate the angles and sides of triangles.’
Trigonometric functions are also known as circular functions. This is because they are normally explained and d


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3 Dimensional Geometry

Three-dimensional space


 
A representation of a three-dimensional Cartesian coordinate system with the x-axis pointing towards the observer.
Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension.
In physics and mathematics, a sequence of nnumbers can be understood as a location in n-dimensional space. When n = 3, the set of


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Sequence and series

Investigating Sequences and Series

 
Three types of sequences are there i.e. A.P. (Arithmetic Progression), G.P. (Geometric Progression) and Harmonic Progression (H.P.), here we will be investigating sequences of these three types.
Progression is defined as sequence of terms that increases in a particular pattern.
1. Arithmetic sequence
2. Geometric sequence
3. Harmonic sequence.

Let's have small introduction about these sequences.
Sequence of Numbers in which there is a constant diffe


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Principle Of Mathematical Induction

Mathematical induction is a mathematical proof technique. It is essentially used to prove that a property P(n) holds for every natural number n, i.e. for n = 0, 1, 2, 3, and so on. Metaphors can be informally used to understand the concept of mathematical induction, such as the metaphor of falling dominoes or climbing a ladder:

Mathematical induction proves that we can climb as high as w


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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.[1][2] In applying statistics to, for example, a scientific,


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Limits and derivatives

LIMITS In Mathematics, a limit is defined as a value that a function approaches as the input approaches some value. Limits are important in calculus and mathematical analysis and used to define integrals, derivatives, and continuity. Properties of Limits Let p and q be two functions and a be a value such that \(\displaystyle{\lim_{x \to a}p(x)}\) and \(\displaystyle{\lim_{x \to a}q(x)}\) exists. 1.\(\displaystyle{\lim_{x \to a}[p(x) + g (x)] = \lim_{x \to


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Linear inequalities

https://en.wikipedia.org/wiki/Linear_inequality   In mathematics a linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality:Read More

Sets

https://en.wikipedia.org/wiki/Set_(mathematics) power set The power set of a set S is the set of all subsets of S. The power set contains S itself and the empty set because these are both subsets of S. For example, the power set of the set {1, 2, 3} is {{1, 2, 3}, {1, 2}, {1, 3}, {2, 3}, {1}, {2}, {3}, ∅}. The power set of a set S is usually written as P(S).   The power set of a finite set with n elements has 2n elements. For example, the set {1, 2, 3} contains three elemen


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Complex Numbers


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