The six important trigonometric functions (trigonometric ratios) are calculated using the below formulas and considering the above figure. It is necessary to get knowledge about the sides of the right triangle because it defines the set of important trigonometric functions.…
The trigonometric ratios of a triangle are also called the trigonometric functions. Sine, cosine, and tangent are 3 important trigonometric functions and are abbreviated as sin, cos and tan. Let us see how are these ratios or functions, evaluated in…
Trigonometry is one of the most important branches in mathematics that finds huge application in diverse fields. The branch called “Trigonometry” basically deals with the study of the relationship between the sides and angles of the right-angle triangle. Hence, it…
Trigonometry is one of the important branches in the history of mathematics that deals with the study of the relationship between the sides and angles of a right-angled triangle. This concept is given by the Greek mathematician Hipparchus. In this article, we are going to…
Q1 What is the basic of set theory? Set theory defines the collection of objects, where the order of objects does not matter. It relates with the collection of group of members or elements in mathematics or in real world.…
The four important set operations that are widely used are: Fundamental Properties of Set operations: Like addition and multiplication operation in algebra, the operations such as union and intersection in set theory obeys the properties of associativity and commutativity. Also,…
Symbol Symbol Name { } set A ∪ B A union B A ∩ B A intersection B A ⊆ B A is subset of B A ⊄ B A is not subset B A ⊂ B proper subset /…
There are several symbols that are adopted for common sets. They are given in the table below: Table 1: Symbols denoting common sets Symbol Corresponding Set N Represents the set of all Natural numbers i.e. all the positive integers.This can…
The sets are further categorized into different types, based on elements or types of elements. These different types of sets in basic set theory are: