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Page 8 of 8
Sec 60
Introduction The link between a right triangle's side ratio and angle is the subject of the mathematical branch of trigonometry. The ratio used to study this relationship is called the trigonometric ratio. That is, sine, cosine, tangent, cotangent, second, cotangent. The hypotenuse, the base (which is adjacent), and the perpendicular are the three sides of a right-angled triangle from which trigonometric ratios in geometry are obtained. The name "trigonometry" is made up of the phrases "Trigonon" and "Metron, " which denote a triangle and a measure, respectively. The ratio of the hypotenuse's length to the neighbouring side's (base) length is ...
Read MoreFundamental principle of counting
Introduction You go shopping on a bright sunny day. You chose nice jeans and decided to pay with a credit card. But suddenly you realized that you couldn't remember your PIN. What a tragedy! Now what you can think of is to list all possible combinations to understand your pin. How many combinations are possible? If you list and count all possible combinations, the answer to this question will be difficult. In these situations, the basic principle of counting or the principle of multiplication is useful. Number system A number system is defined as a system of writing to ...
Read MorePoisson Distribution
Introduction Poisson distributions are frequently used to comprehend various events that take place continuously over a predetermined period of time. The Poisson distribution is a discrete function , therefore the variable can only take values from a list of (possibly infinite) numbers. The Poisson distribution is used in probability and statistics concepts of mathematics. It is a discrete probability distribution used in probability theory and statistics to express the chances of happening that a given number of events will happen within a given time period and regardless of the amount of time that has passed since the last outcome. Definition ...
Read MoreRandom Sampling
Introduction Sampling techniques refer to the different sampling techniques used to collect different types of samples in statistics. If you need to make statistical inferences about a population, it is almost impossible to collect data from all the units that belong to that group. In these situations, various sampling methods can help you select the correct sample from this population for analysis. In this tutorial, we will discuss random sampling, its type, formulas, and examples. Random sampling Definition Random sampling can be considered as a case of probability sampling. where each and every unit from the population into the ...
Read MoreRemainder
Introduction Division is the basic arithmetical operation in mathematics. It is the process of distributing things into equal parts. When the dividend is not completely divisible by the divisor it left a number or the value is known as the remainder. In mathematics, in numerous instances, the leftover part or value is known as residues. Sometimes in many calculations residues are neglected or round off to obtain the answer in the whole number. For example, in the decimal number 5.04, the number after the decimal is 4. It represents remainder or residue. Sometimes to give only a whole number answer, ...
Read MoreSampling Error
Introduction In any business or research activity, a large number of data is produced, which becomes difficult to analyse. In this direction, a statistical process, sampling, is useful to analyse the entire population. However, in doing so, some error arises due to various reasons. For accurate data analysis, one must know about sampling and the various types of error associated with it. In this tutorial, we will discuss sampling, sampling errors, a basic formula, properties, and ways to minimize sampling error with solved examples. Sampling In statistics, sampling is defined as the process of selection of specific data from a ...
Read MoreComplex Numbers
Introduction Complex numbers make it simpler to find the square root of negative values. The concept of complex numbers was first presented when Hero of Alexandria, a Greek mathematician, attempted to compute the square root of a negative number in the first century. However, he made the integers' negative values positive and got their root values. Additionally, the identity of complex numbers was established when the third- and second-order polynomials' negative roots were discovered by the Italian mathematician Gerolamo Cardano in the sixteenth century. Numerous scientific research, including those involving signal processing, electromagnetism, fluid physics, quantum mechanics, and vibration ...
Read MoreConditional Statement
Introduction Mathematical reasoning, a crucial skill that enables pupils to examine a given hypothesis without reference to a specific context or meaning, includes conditional statements. The reasoning is not based on an individual's opinion when a scientific investigation or assertion is investigated, to put it simply. The basis for deductions and proofs must be factual and scientific. To answer issues involving mathematical reasoning, one needs to possess critical thinking and logical reasoning abilities in mathematics. We will delve into the world of conditional statements in this quick session. Along with solved examples and interactive questions, we will go over ...
Read MoreConic Sections
Introduction When a solid surface like a cone is cut by a plane it forms different sections called conic sections. There are different conic sections like a circle, ellipse, parabola, and hyperbola based on the angle at which the plane intersects with the cone axis. Circle and ellipse are closed sections whereas parabola and hyperbola are not closed the curves of these figures extend till infinity. Definition of Section of Cone When a two-dimensional plane intersects a three-dimensional right circular cone the crop section formed on the plane is called a conic section. The plane intersects the ...
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