inverse trignometric functions

Derivative of Inverse Trignometric Functions - Before finding the differentiation of inverse trigonometric functions, recall how the inverse trigonometric functions are defined and what the domain and range of each inverse..

Before finding the differentiation of inverse trigonometric functions, recall how the inverse trigonometric functions are defined and what the domain and range of each inverse trigonometric function. For ready reference, the domain and ran..

Let f : A B be a real valued one-one and onto function. Therefore, we can define a function, (denoted by f - 1 ) called 'the inverse of f ' as follows: f - 1 : B A such that..

Determine whether the graph of the function has an inverse. => No or Yes..

The inverse function arsinhx, artanhx, arcschx and arcothx exist for all x (-, ) while arcoshx and arsechx exist only for x (0, ..

Definition of sin - - 1 x For x [-1, 1], if q is an angle whose sine is x, then we say that sine inverse x is q and write sin -1 x = q . For practical purposes, only principal values of sin - 1 x are considered. sin - 1 x is a function of x with domain [-1,1] and range [- p /2, ..

Which pair of functions are not inverses? => f(x ) = 7 x + 14, g(x ) = 7 x - 4 or f(x ) = 2 x - 7, g(x ) = x + 7 2 or f(x ) = 7 x + 14, g(x ) = 1 7 x - 2 or f(x ) = x - 5, g(x ) = x + 5..

In the principle value branches, the following formulae holds: - sin -1 (sin x) = x - cos -1 (cos x) = x - tan -1 (tan x) = x - cos -1 (cot x) = x - sec -1 (secx) = x - cosec -1 (cosecx) = x - sin -1 (-x) = -sin -1 x - cos -1 (-x) = p - cos -1 x - t..

Which pair of functions are inverses? => f(x ) = 2 x - 10, g(x ) = x + 10 or f(x ) = x - 10, g(x ) = x + 10 or f(x ) = x - 10, g(x ) = x - 10 or f(x ) = x - 10, g(x ) = 2 x + 10..

Which pair of functions are inverses? => f(x ) = 8 x + 1, g(x ) = 8 x - 1 or f(x ) = 8 x + 8, g(x ) = 8( x + 1) or f(x ) = 8 x + 1, g(x ) = 4 x - 1 4 or f(x ) = 9 x + 9, g(x ) = 9 x - 1..