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Articles by Praveen Varghese Thomas
Page 11 of 75
Argument of Complex Numbers
Introduction Argument of complex number can be described as the angle made by the line formed by the complex number, with the positive x-axis of the argand plane. Argument of complex numbers describes the relationship between the imaginary and real part of the complex number. In this tutorial, we will understand complex numbers, polar form of complex numbers, argument of complex numbers, and some examples based on complex numbers. Complex Numbers Complex numbers are elements of the number system that consist of real numbers along with imaginary unit, i.e. i. which satisfies the argument; i2=-1. When a complex ...
Read MoreProperties of Inverse Trigonometric Functions
Introduction The properties of inverse trigonometric functions are associated with the range as well as domain of the function. Inverse trigonometric functions are identified as the inverse of some basic trigonometric functions such as sine, cosine, tangent, secant, cosecant, and cotangent functions. Inverse trigonometric functions are also known as, arc functions and cyclometric functions. These expressions of inverse trigonometric functions allow you to find any angle at any trigonometric ratio. These expressions are derived from the properties of trigonometric functions.It is expressed as − $$\mathrm{\sin^{-1}\:, \:\cos^{-1}\:, \:\sec^{-1}\:, \:cosec^{-1}\:, \:\cot^{-1}\:, \:and\:\tan^{-1}}$$ Inverse trigonometric functions also are known as, arc functions, and ...
Read MoreReflexive Relation
Introduction A reflexive relation is a relationship between elements of a set where each element is related to the others in the set. As the name implies, every component of the set has a reflection image that is a reflection of itself. In set theory, the reflexive connection is a crucial idea. Since each set is a subset of itself, the relation "is a subset of" on a group of sets is an example of a reflexive relation. In discrete mathematics, we explore a variety of relations, including reflexive, transitive, symmetric, and others. In this lesson, we will comprehend the ...
Read MoreRelation between A.M., G.M, and H.M
Introduction The relation between AM , GM and HM is written as $\mathrm{AM\times\:HM\:=\:GM^{2}}$ . When studying sequences in math, we also encounter the relationship between AM, GM, and HM. These three represent the mean or average of the corresponding series. The Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM) are all abbreviations for mean. The mean of the arithmetic progression, the geometric progression, and the harmonic progression is represented by AM, GM, and HM, respectively. One should be familiar with these three meanings and their formulas before learning about how they relate to one another. What is Arithmetic ...
Read MoreRelation Between Mean Median and Mode
Introduction The realtion between mean , medina and mode is equal to the difference between 3 times the median and 2 times the mean. In statistics, data is a collection of information based on some natural or man-made mathematical phenomenon. There are various methods of studying data and interpreting some properties of the mathematical phenomenon, but the most common is the central tendencies. Central tendencies, as the name suggests, is a method to find the centre of all the observations in the given data in many different ways, the first is to add all the observations and divide that sum ...
Read MoreArea of Hexagon Formula
Introduction The area of a hexagon is the space bounded by all of its sides. A Hexagon is a polygon with six sides and six angles. Regular hexagons are made up of six equilateral triangles and have six equal sides and six angles. There are several methods for calculating the area of a hexagon, whether it is an irregular hexagon or a regular hexagon. There are several methods for calculating the area of a hexagon formula. The various methods are primarily determined by how you spit the hexagon. It can be divided into 6 equilateral triangles or 2 triangles ...
Read MoreArea of Pentagon
Introduction Area of pentagon is the region enclosed by the boundaries of pentagon. A polygon with five straight sides is called a pentagon. The majority of math class tasks will include normal pentagons, which have five equal sides. Depending on the amount of information you have, there are two typical methods for finding the location. The region that is surrounded by a pentagon's five sides is known as the area of the pentagon. A pentagon is a five-sided polygon that has only two dimensions. The Greek words "Penta" (which means "five") and "gon" (which means "angles") are the source of ...
Read MoreArea of Prism
Introduction The area of a prism is defined as the total amount of space that the prism encloses in a three-dimensional space . The region that describes the substance that will be utilised to cover a geometric solid is known as the surface area. When calculating the surface areas of a geometric solid, we add the areas of all the geometric forms that make up the solid. A figure's volume, which is measured in cubic units, indicates how much it can store. We can learn something about a figure's capacity from its volume. A prism is a solid shape with ...
Read MoreExterior Angles of Polygon
Introduction Exterior angles of a polygon are formed when by one of its side and extending the other side. Polygon is one of the essential & fundamental shape in geometry. A polygon is a closed two-dimensional geometrical figure with three or more sides. The Greek word polygon is formed from two words ‘poly’ which means many & ‘gon’ means angles. Some real-life examples of a polygon are a hexagon which has a hexagonal shape, a rectangular screen of a laptop, the Bermuda Triangle, Egypt’s pyramid etc. Triangle is widely used in modern construction. Polygon has two types of angles: ...
Read MoreCylinder
Introduction The cylinder obtained by rotating a line segment about a fixed line that it is parallel to is a cylinder of revolution. In our everyday lives, we are familiar with several cylindrical objects. Traditional definitions of a cylinder or cylindrical structure include a three-dimensional solid with a prism-like form and a circle at the base, as pencil, road roller, and pipes are some basic examples of cylinders. One of the most fundamental curvilinear geometric forms is this one. This conventional viewpoint is still helpful in resolving simple geometric issues. A cylindrical surface, however, is viewed from a complex ...
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