What is reciprocal definition?

In mathematics, the reciprocal of a number is defined as the quotient obtained by dividing 1 by that number. It is denoted by placing the number in the denominator of the fraction 1/number. The reciprocal of a fraction is found by interchanging the numerator and denominator. For example, the reciprocal of 5 is 1/5, and the reciprocal of 3/5 is 5/3.

Reciprocals are used in many applications, including solving equations, finding slopes of lines, and determining inverse functions. They are also commonly used in physics and engineering to represent resistance, capacitance, and conductance in electrical circuits. In addition, reciprocal functions, such as the trigonometric functions secant, cosecant, and cotangent, are important in geometry and calculus.