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# FSC(Second Year) Math Definitions

## Parametric Function

In this post we discuss about Parametric Function. It can be defined as ” Sometime a curve is described by expressing both x and y as function of a third variable “t” or “θ” which is called parameter. The equations of the type x=f(t) and y=g(t) are called the parametric equations of the curve. The functions of the form given below …

## Implicit Function

It can be defined as:  If x and y are so mixed up and y cannot be expressed in terms of independent variable x then y  is called an implicit function of x. Examples:     Symbolically implicit function is written as  f (x,y)=0

## Explicit Function

It can be defined as,    If y is easily expressed in terms of the independent variable x, then y is called explicit function of x  Examples:           Symbolically it can be written as     y= f (x).

## Hyperbolic Functions

In this post we discuss about Hyperbolic Functions. The Hyperbolic Functions have same properties that resembles to those of trigonometric functions. Function Formula Sinhx    Domain: R, Range= R Coshx    Domain=R, Range= [1,+∞] Tanhx Cosechx Sechx Cothx

## Inverse Trigonometric Functions

In this post we discuss about Inverse Trigonometric Functions and also their domain and range. We denote and define Inverse Trigonometric Functions as follows Function    Formulas y=Sin-1x y=Cos-1x   y=Tan-1x

## Inverse Hyperbolic Functions

In this post we discuss about inverse Hyperbolic Function and also their domain and Range. The Inverse Hyperbolic Functions are expressed in terms of natural ;logarithms.  Function    Formulas Sinh-1x Cosh-1x   Tanh-1x   Cosech-1x   Sech-1x   Coth-1x

## Inverse Hyperbolic Functions

In this post we define Inverse Hyperbolic Functions. The inverse hyperbolic Functions are expressed in terms of natural logarithms. FUNCTIONS FORMULAS Sinh-1 x   For all x Cosh-1 x Tanh-1 x Cosech-1 x Sech-1 x Coth-1 x