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- 36 week duration
TOPIC COVERED IN THIS UNIT:
Logarithms and their properties
Trigonometric Ratios and Identities
we will learn about the basic formulas used to solve trigonometric problems such as trigonometric ratios (sin, cos, tan, sec, cosec & tan), Pythagorean identities, product identities, etc. Some of the formulas including the sign of ratios in different quadrants, involving cofunction identities (shifting angles), sum & difference identities, double angle identities, half-angle identities, etc. are also given here in a brief.
Matrices & Determinants
Matrices: Algebra of matrices, types of matrices, and matrices of order two and three. Determinants: Properties of determinants, evaluation of determinants, the area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations. Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix. Determinant of a square matrix of order up to three, the inverse of a square matrix of order up to three. Properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties Solutions of simultaneous linear equations in two or three variables.
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