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
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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