
What is the law of identity?
Answer
411.9k+ views
1 likes
Hint: First, we will describe the law of identity and then we will state the types of identity we use in mathematics. Since there are so many identities, hence we will only mention some of them. Finally, we will give some examples to make the concept clearer.
Complete step-by-step solution:
According to the law of identity, it is true if a statement is determined to be true, the law of identity states that all things are identical to themselves. Identity law can be stated as A=A. An identity is an equivalence between differently defined functions. In other words, A = B is identity when A and B define the same functions. The concept of identity is essential because it explicitly explains that reality is definite since there cannot be two identities for an entity. It states that every object that exists consists of its own special features, which are part of what it is. In mathematics, we use various types of identities and some of them are listed below.
A) Algebraic Identities
B) Trigonometric Identities
C) Exponential Identities
D) Logarithmic Identities
Some of the examples of identities provided above are-
1) Algebraic Identities
2) Trigonometric Identities
3) Exponential Identities
4) Logarithmic Identities
Note: The Law of Identity is one of the Boolean Laws; it includes two terms:
1 AND A = A means a product of 1 and any number or variable is the same number and variable and 0 OR A = A means a sum of 0 and any number or variable is the same number or variable.
Complete step-by-step solution:
According to the law of identity, it is true if a statement is determined to be true, the law of identity states that all things are identical to themselves. Identity law can be stated as A=A. An identity is an equivalence between differently defined functions. In other words, A = B is identity when A and B define the same functions. The concept of identity is essential because it explicitly explains that reality is definite since there cannot be two identities for an entity. It states that every object that exists consists of its own special features, which are part of what it is. In mathematics, we use various types of identities and some of them are listed below.
A) Algebraic Identities
B) Trigonometric Identities
C) Exponential Identities
D) Logarithmic Identities
Some of the examples of identities provided above are-
1)
2)
3)
4)
Note: The Law of Identity is one of the Boolean Laws; it includes two terms:
1 AND A = A means a product of 1 and any number or variable is the same number and variable and 0 OR A = A means a sum of 0 and any number or variable is the same number or variable.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 8 Science: Engaging Questions & Answers for Success

Master Class 8 English: Engaging Questions & Answers for Success

Master Class 8 Social Science: Engaging Questions & Answers for Success

Master Class 8 Maths: Engaging Questions & Answers for Success

Class 8 Question and Answer - Your Ultimate Solutions Guide

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Trending doubts
How many ounces are in 500 mL class 8 maths CBSE

Name the states through which the Tropic of Cancer class 8 social science CBSE

How many ten lakhs are in one crore-class-8-maths-CBSE

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

Explain land use pattern in India and why has the land class 8 social science CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE
