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Radian Measure. Trigonometric functions and their properties. Trigonometric Identities. Trigonometric equations. Properties of Triangle. The Law of Sines or Sine Formula. Area of a triangle Heron s Formula. Application to Triangle. Inverse Trigonometric Functions.

Exercise 3 1: Basic results of Trigonometry. Exercise 3 2: Radian Measure. Exercise 3 3: Trigonometric functions and their properties. Exercise 3 4: Trigonometric Identities: Sum and difference identities or compound angles formulas. Exercise 3 5: Trigonometric Identities: Multiple angle identities and submultiple angle identities.

Exercise 3 8: Trigonometric equations. Exercise 3 9: Area of a triangle Heron s Formula. Exercise 3 Trigonometry Application to Triangle. Exercise 3 Inverse Trigonometric Functions. Exercise 3 Choose the correct or the most suitable answer. Combinatorics and Mathematical Induction: Introduction.

Fundamental principles of counting. Mathematical induction. Exercise 4 1: Factorials. Exercise 4 2: Permutations. Exercise 4 3: Combinations. Exercise 4 4: Mathematical induction. Exercise 4 5: Choose the correct or the most suitable answer. Binomial Theorem, Sequences and Series: Introduction. Binomial Theorem. Particular cases of Binomial Theorem. Finite Sequences.

Finite Series. Infinite Sequences and Series. Exercise 5 1: Binomial Theorem. Exercise 5 2: Finite Sequences. Exercise 5 3: Finite Series. Exercise 5 4: Infinite Sequences and Series. Exercise 5 5: Choose the correct answer. Two Dimensional Analytical Geometry: Introduction.

Locus of a point. Straight Lines. Angle between two straight lines. Pair of Straight Lines. Exercise 6 1: Locus of a point. Exercise 6 2: Straight Lines. Exercise 6 3: Angle between two straight lines. Exercise 6 4: Pair of Straight Lines. Exercise 6 5: Choose the correct answer. Matrices and Determinants : Introduction. General form of a matrix. Types of Matrices. Equality of Matrices. Algebraic Operations on Matrices.

Operation of Transpose of a Matrix and its Properties. Symmetric and Skew-symmetric Matrices. Determinants of Matrices of different order. Properties of Determinants.

Application of Factor Theorem to Determinants. Product of Determinants. Relation between a Determinant and its Cofactor Determinant. Determinants: Area of a Triangle. Determinants: Singular and non-singular Matrices. Exercise 7 1: Matrices. Exercise 7 2: Determinants. Exercise 7 3: Application of Factor Theorem to Determinants. Exercise 7 5: Choose the correct answer.

Vector Algebra: Introduction. Scalars and Vectors. Representation of a vector and types of vectors. Algebra of Vectors. Position vectors. Resolution of Vectors. Direction Cosines and Direction Ratios. Product of Vectors. Scalar product and Properties of Scalar Product. Vector Product and Properties of Vector Product.

Exercise 8 1: Position vectors. Exercise 8 2: Direction Cosines and Direction Ratios. Exercise 8 3: Scalar product and Properties of Scalar Product.

Exercise 8 5: Choose the correct answer. Differential Calculus - Limits and Continuity. The calculation of limits. One sided limits: left-hand limit and right-hand limit. Theorems on limits. Infinite Limits. Limits at infinity. Limits of rational functions. Applications of limits.

Sandwich Theorem. Two special Trigonometrical limits. Some important other limits. Continuity - Differential Calculus. Examples of functions Continuous at a point.

Algebra of continuous functions. Removable and Jump Discontinuities - Differential Calculus. Exercise 9 1: One sided limits: left-hand limit and right-hand limit. Exercise 9 2: Theorems on limits. Exercise 9 3: Applications of limits. Exercise 9 4: Some important limits.

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The board recently provided access to textbooks online, and some of these e-books have been provided in the following table:. Chemistry - I. Chemistry - II. Maths - I. Maths - II. Botany - I. Botany - II. Zoology - I. Zoology - II. Computer Science - I. Computer Science - II. The board has assimilated a practical learning guide in explaining the concepts, especially in technical subjects like computer science and mathematics.

The syllabus of every subject is prepared with the lens of emphasizing the all-round-development of the students. The subjects listed below are Physics, Chemistry, Mathematics, Bio-Botany, Zoology, Economics, English, Computer Science, and the syllabus of each subject has been separately mentioned in the following tables.

It must be noted that the Samacheer Kalvi books have prioritized at least one chapter for explaining the relation of each subject with the state functioning, and it is a great move to create an inclusive space for education. No Chapter Name 01 Living world 02 Plant kingdom 03 Vegetative morphology 04 Reproductive morphology 05 Taxonomy and systematic botany 06 Cell: the unit of life 07 Cell cycle 08 Biomolecules 09 Tissue and tissue system 10 Secondary growth 11 Transport in plants 12 Mineral nutrition 13 Photosynthesis 14 Respiration 15 Plant growth and development Zoology SL.

You can download on your smartphone or laptop You can print them out for offline reading You can save money http You can prepare for the board exams and other entry test exams. Are you ready to download or view online? For example, if a book is sitting on a table, the force of gravity pulling down on it is balanced by the normal force pushing up on it. So, the forces acting on it are in equilibrium, and the book won't move.

To add two vectors together addition means to find the net result , you have to determine which side of your coordinate system they are on. If both are on the same side and going in the same direction, then you just add them together normally. If one is positive and one negative on opposite sides , then you have to place them head-to-tail so that they overlap and form a straight line. Then draw a vector from the tail of one to the head of the othervectorand this will be your new vector.

Now that we understand what equilibrium is, let's look at vectors. Vectors have been around for only about a hundred years. And yet we still don't talk about them much in everyday life; it is hard to explain why we need them. There are two kinds of curves: lines and surfaces. A line is just a one-dimensional thing. You can draw a line on the ground or in space by putting straight sticks in the ground or pushing them out into space.