reciprocal identities

(iii) tangent A tangent A In short, tan A Similarly three more ratios can be obtained by taking the reciprocals of sine, cosine and tangent ratios. (iv) cosecant In shor..

Let A be a square matrix of order n. If there exists a matrix B of order n such that AB = BA = I, where I is the identity matrix of order n, then the matrix A is said to be invertible and B is called the inverse (or reciprocal) of ..

The adjoint of a square matrix [aij] is defined as the transpose of the matrix [Aij] where Aij are the cofactors of the elements aij. Adjoint of A is denoted by adj A. Let A be a square matrix of order n. If there exists a matrix B of order n such that AB = BA = I, where I is the ..

Square root of a negative number is known as an imaginary number . If x and y are real numbers, then x + iy is called a complex number . x is called the real part and y is called the imaginary part . The following are the types of complex numbers: Equality of Complex numbers,..

(x) of x under f is called the value of 'f ' at x. Types of Function and their Graphs: Constant function, Identity function, Polynomial function, Modulus function, Square root function, Greatest integer function or Step function (Floor function), Smallest integer function (Ceiling functio..

Summary - All vibrating and oscillating bodies are described by the length of time required for one complete cycle. Time period (T) is the reciprocal of frequency (f). Vibrations and oscillations are also characterised by terms like amplitude of vibrations which is actually the maximum di..