#### 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 of 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

1. For any two angles A and B, cos (A -B) = cos A cos B + sin A sin B

2. For any two angles A and B, cos (A + B) = cos A cos B − sin A sin B

3. For any two angles A and B, sin (A − B) = sin A cos B − cos A sin B

4. For any two angles A and B, sin (A + B) = sin A cos B + cos A sin B

5. For any two angles A and B, tan (A + B) =` (tan A + tan B)/(1 –tan A tan B)`

6. For any two angles A and B, tan (A -B) = `(tan A -tan B)/(1 + tan A tan B)`

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