this section consist of FSC(Second Year) Math all definitions chapter wise.

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 are called Parametric Functions (1)  x =a t 2                                        (2)     x = a cos t       y = at                                                   y = a sin t  (3)   x = a cos θ                                  (4)   x = a sec θ        y = a sin θ                                          y = a tan θ

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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 

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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        

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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    

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Hyperbolic Functions

In this post we define Hyperbolic  Functions and also discuss their domains and ranges. The  hyperbolic Functions have same properties that resembles to those of trigonometric functions. Functions                       Formulas y = Sinh x y = Cosh x  , Range=[1,+) y = Tanh x     y = Coseh x   y = Sech x    y = Coth x     

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Inverse Trigonometric Functions

In this post we define Inverse Trigonometric Functions and also their domain and range. If you want to see their related topics then click here Function Range               and           Domain y = sin-1 x          y = cos-1 x           y = tan-1 x     

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