this section consist of FSC(Second Year) Math all definitions chapter wise.
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
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
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).
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
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
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
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
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
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
Trigonometric Functions We denote and define trigonometric functions as follows. Function Domain Range Y=Sinx R -1 ≤ Y ≤ 1 Y=Cosx R -1 ≤ Y ≤ 1 Y=Tanx {x: x ∈ R and x ≠(2n+1) } R Y=Cotx {x: x ∈ R and x ≠n } R Y=Secx {x: x∈ R and x≠(2n+1) } y ≥1, y ≤ -1 Y=Cosecx {x: x∈R and x≠n } y ≥1, y ≤ -1