Found 468 Articles for Mathematics

Introduction Cos 0 has a value of 1. When the angle of a right triangle equals zero degrees, a number known as the cosine of angle zero degrees reflects the ratio of the length of the neighbouring side to the length of the hypotenuse. The precise value of the cosine of angle 0 degrees is equal to 1, and the cos of angle 0 degrees is expressed as cos (0) in the sexagesimal notation. Trigonometric Functions The trigonometric functions in mathematics are real functions that connect the angle of a right-angled triangle to the ratios of its two ... Read More

Introduction Circumference of a circle is the length of the boundary In Geometry, one of the two-dimensional figures is the circle. The real-life applications of circles are worldwide, they thrive in the fields of architecture and sciences. Some of the examples in real-life are, wedding rings, shirt buttons, steering wheels, eye lenses, giant wheels, tyres of vehicles, compact discs, etc., They have a diameter and radius. The radius varies from one circle to another. The diameter of the circle divides the circle into two halves called semicircles. If a circle is drawn on a plane divide the plane into two ... Read More

Introduction Chance and Probability are very similar to each other. The concept of experiment has a profound presence, structurally, in the fundamentals of the theory of probability. The main concept of the probabilistic approach in any scientific thought is simply to judge the nature of the experiments through which the thought itself may acquire a strong foothold. This sort of judgment is, however made in terms of the likelihood of something appearing as the result of an experiment. It is true that an observation or a test is usually initiated with an intense hope that it will be ended up ... Read More

Introduction The centroid in mathematics designates the geometric centre of a planar surface with two dimensions. In this tutorial, we will learn about Centroid, and other centres of triangles and the relationship between them. What is Centroid? The centroid in mathematics designates the geometric centre of a planar surface with two dimensions. It is a point that is determined by taking the arithmetic mean of all the points on the plane surface as its location. The term "centroid" also refers to the centre of gravity. Locating centroid of triangle − The point where the triangle's three medians intersect ... Read More

Introduction Categorical data is data divided into categories. Statistical information made up of categorical variables—data that have been divided into categories—is known as categorical data. A set of grouped data is one example. More specifically, countable qualitative data or quantitative data clustered within predetermined intervals could be used to create category data. The information is condensed into a probability table. However, when we examine data analysis, it is referred to use the phrase “categorical data”, which is used for data sets. It should be noted that although the data set includes some categorical variables, it may also include non-categorical ... Read More

Calculus has two main branches, Differential Calculus, and Integral Calculus. Differential Calculus is the branch of calculus that deals with limits, continuity, derivatives, and differentiability. Continuity is defined as the property of a function to have a non breaking graph i.e. limit of the function exists at all the points in the domain and differentiability is the property of the function to have a derivative at all the points in the domain. Whereas the Integral calculus is the branch of calculus that deals with integration and the area under the curve of a function. Integrations are the exact opposite of ... Read More

Introduction Tangent to a circle is line that touches circle at one point. A collection of points that are equidistant from a fixed point is called a circle whereas a straight group of points in a plane is called a line. In geometry, if a line in the same plane as that of the circle, touches the circumference of the circle outside the circle at exactly one point, that is, there is only one point of intersection between the two, then that line is called a tangent of the circle. Infinite number of such lines can be drawn from a ... Read More

Introduction Rectangular Pyramid is a three-dimensional solid figure with a rectangular base and four triangular flat surfaces. There are many types of pyramids, such as the square pyramid, triangular pyramid, pentagonal pyramid, and hexagonal pyramid concerning the shapes of the base and the number of triangle surfaces. The surfaces of the pyramid are plane figures with straight lines, which can also be called polygons. If a solid figure is made up of polygons then it is called a polyhedron. Rectangular pyramids, or pyramids in general, are Polyhedrons. One of the common types of the pyramid is the rectangular pyramid. The ... Read More

Introduction Probability is simply a useful description (in the form of a mathematical model) for experiments whose exact outcome is difficult to predict in advance. When you toss a coin, it's tough to know in advance if a head or a tail will appear. When you can't predict the exact outcome, it's often useful to try to characterize every outcome that could occur along with a numerical description as to which are the most likely to occur. The numerical description you choose can be based on your experience, knowledge of physics, ... Read More

Introduction Mathematical induction involves principles which are a specific technique to prove theorems and statements in algebra which are expressed in the form of n; where n belongs to natural numbers. In mathematical induction any statement is proved for n=1 and then for any variable. What is PMI? Mathematical Induction can be described as a tool to prove any statement A(n) which can hold for natural numbers n=1, 2, 3, 4, 5......n. Mathematical Induction is based on some principles called the principle of mathematical induction (PMI). In order to prove a result for a statement A(n), we can use the ... Read More