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Trigonometric Identities Formulas | Proofs, Solved Examples, FAQs, PDFs Download Free

September 10, 2025February 12, 2025 by Neeraj Anand, Param Anand
Trigonometric identities are useful whenever trigonometric functions are involved in an expression or an equation. Trigonometric identities are true for every value of variables occurring on both sides of an equation. Geometrically, these identities involve certain trigonometric functions (such as sine, cosine, tangent) of one or more angles.

Trigonometric Identities are useful whenever trigonometric functions are involved in an expression or an equation. Trigonometric Identities are true for …

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Trigonometric Function-Sum & Difference of Two Angles | Examples

February 12, 2025 by Neeraj Anand, Param Anand
The following equalities in trigonometry will be used in the upcoming discussion to establish a relation between the sum and difference of angles

The following equalities in trigonometry will be used in the upcoming discussion to establish a relation between the sum and …

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Trigonometric Functions(Class 11 Math)-Formula, Graph, Domain & Range, Derivative & Integration, Examples, FAQs

September 1, 2025February 9, 2025 by Neeraj Anand, Param Anand
Trigonometric functions, often simply called trig functions, are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides.

Trigonometric Functions, often simply called trig functions, are mathematical functions that relate the angles of a right triangle to the …

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Measuring Angles(Class 11 Math Trigonometry)-Types of Angles, Degrees & Radians Formula, Examples & FAQs

September 10, 2025February 9, 2025 by Neeraj Anand, Param Anand
Measurement of angles is very important in geometry for solving various geometrical problems and comparing angles in various geometrical figures. We use various geometric tools such as a protractor, and a compass for measuring angles. There are various types of angles measured by us and before learning more about measuring angles we should first learn more about what is an angle.

Measurement of angles is very important in geometry for solving various geometrical problems and comparing angles in various geometrical figures. …

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Many One Functions(Class 11 Math)-Definition, Properties, Solved Examples, Graphs, FAQs

February 9, 2025 by Neeraj Anand, Param Anand
Many-to-one or many one function is one of the various types of functions that represent relationships between different entities. As we know, a function is a very specific type of relation in which each input has a unique output. In a many-one function, many inputs can have the same output. For example, x2, where both 1 and -1 have the same output, i. E. , 1.

Many-to-One or Many One Function is one of the various types of functions that represent relationships between different entities. As …

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Bijective Function(Class 11 Math)-Definition, Properties, Solved Examples, FAQs

February 9, 2025 by Neeraj Anand, Param Anand
Bijective function is a special type of function that represents the relationship between two sets in such a way that all elements in the domain have an image in the codomain and each element in the codomain has a pre-image in the domain.

Bijective Function is a special type of function that represents the relationship between two sets in such a way that …

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Onto Functions(Surjective Functions)-Definition, Graph, Properties, Solved Examples, FAQs

September 1, 2025February 9, 2025 by Neeraj Anand, Param Anand
Onto function is one of the many types of functions defined based on the relationship between its domain and codomain. For any function to be onto, it needs to relate two sets with a very specific mapping between elements, meaning that each element of the codomain has at least one element in the domain as its pre-image. In simple words, for any function, if all the elements of the codomain are mapped to some element of the domain, then the function is said to be an onto function.  

Onto Function is one of the many types of functions defined based on the relationship between its domain and codomain. …

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One-to-One Functions(Injective): Definition, Graph, Properties, Solved Examples, FAQs

February 8, 2025 by Neeraj Anand, Param Anand
One to one function or one-one function is one of the types of functions defined over domain and codomain and describes the specific type of relationship between domain and the codomain. One to one function is also called the injective function. One to one function is a mathematical function where each element in the domain maps to a unique element in the codomain.

One to One Function or One-One Function is one of the types of functions defined over domain and codomain and …

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Types of Functions | One-One(Injective), Onto(Surjective), Many One, Into Functions with Examples, FAQs

September 10, 2025February 8, 2025 by Neeraj Anand, Param Anand
Som of examples of one-one functions are:

Functions are defined as the relations which give a particular output for a particular input value. A function has a …

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Domain and Range of a Different Types of Functions | Solved Examples, FAQs

September 23, 2025February 8, 2025 by Neeraj Anand, Param Anand
In mathematics, a function represents a relationship between a set of inputs and their corresponding outputs. Functions are fundamental in various fields, from algebra to calculus and beyond, as they help model relationships and solve real-world problems.

In mathematics, a function represents a relationship between a set of inputs and their corresponding outputs. Functions are fundamental in …

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Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Miscellaneous Exercise Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

NCERT Solutions Probability Miscellaneous Exercise Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

NCERT Solutions Probability Exercise 13.3 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.3 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.2 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.2 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.1 Class 12 Chapter-13 Math Notes PDF Free Download (Set-1)

Download free NCERT Solutions for Class 12 Math Chapter 13 Probability from Anand Classes. Get clear, step-by-step solutions and printable notes for exam preparation.

Probability NCERT Solutions Exercise 13.1 Class 12 Chapter-13 Math Notes PDF Free Download (Set-2)

Download free NCERT Solutions for Class 12 Chapter 11 Three Dimensional Geometry from Anand Classes. Clear, step-by-step maths notes in PDF format.

Three Dimensional Geometry NCERT Solutions Miscellaneous Exercise Chapter-11 Class 12 Math Notes PDF Free Download

Download free NCERT Solutions for Class 12 Chapter 11 Three Dimensional Geometry from Anand Classes. Clear, step-by-step maths notes in PDF format.

Three Dimensional Geometry NCERT Solutions Exercise 11.2 Chapter-11 Class 12 Math Notes PDF Free Download (Set-2)

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