Topics
Angle and Its Measurement
Trigonometry - 1
- Introduction of Trigonometry
- Trigonometric Functions with the Help of a Circle
- Signs of Trigonometric Functions in Different Quadrants
- Range of Cosθ and Sinθ
- Trigonometric Functions of Specific Angles
- Trigonometric Functions of Negative Angles
- Fundamental Identities
- Periodicity of Trigonometric Functions
- Domain and Range of Trigonometric Functions
- Graphs of Trigonometric Functions
- Polar Co-ordinate System
Trigonometry - 2
- Trigonometric Functions of Sum and Difference of Angles
- Trigonometric Functions of Allied Angels
- Trigonometric Functions of Multiple Angles
- Trigonometric Functions of Double Angles
- Trigonometric Functions of Triple Angle
- Factorization Formulae
- Formulae for Conversion of Sum Or Difference into Product
- Formulae for Conversion of Product in to Sum Or Difference
- Trigonometric Functions of Angles of a Triangle
Determinants and Matrices
- Definition and Expansion of Determinants
- Minors and Cofactors of Elements of Determinants
- Properties of Determinants
- Application of Determinants
- Cramer’s Rule
- Consistency of Three Equations in Two Variables
- Area of Triangle and Collinearity of Three Points
- Introduction to Matrices
- Types of Matrices
- Algebra of Matrices
- Properties of Matrix Multiplication
- Properties of Transpose of a Matrix
Straight Line
Circle
Conic Sections
Measures of Dispersion
Probability
Complex Numbers
Sequences and Series
Permutations and Combination
- Fundamental Principles of Counting
- Invariance Principle
- Factorial Notation
- Concept of Permutations
- Permutations When All Objects Are Distinct
- Permutations When Repetitions Are Allowed
- Permutations When Some Objects Are Identical
- Circular Permutations
- Properties of Permutations
- Concept of Combinations
- Properties of Combinations
Methods of Induction and Binomial Theorem
Sets and Relations
Functions
Limits
Continuity
Differentiation
description
- Domain and Range of Trignometric Functions and Their Graphs
notes
Domain is the set of all those values at which a function is defined.
1) sin x-
Domain- R
Range- [-1,1]
2) cos x-
Domain- R
Range- [-1,1]
3) tan x-
Domain- `"R"- {x:x= (2n+1)π/2, n∈ "Z"}`
Range- `"R"`
4) cot x-
Domain- `"R"- {x:x= nπ, n∈ "Z"}`
Range- `"R"`
5) sec x-
Domain- `"R"- {x:x= (2n+1) π/2, n∈ "Z"}`
Range- `"R"- (-1,1)`
6) cosec x-
Domain- `"R"- {x:x= nπ, n∈ "Z"}`
Range- `"R"- (-1,1)`
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