Inverse functions
Inverse functions are sin - 1 x, cos - 1 x, tan - 1 x etc. The graph of these functions have been done in class X..
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 trigonometric function. For ready reference, the domain and ran..
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..Which is the graph of a function and its inverse?
Which is the graph of a function and its inverse? => Graph 2 or Graph 1 or Graph 4 or Graph 3..
Derivative of Inverse Trignometric Functions
The Derivative of Inverse Trignometric Functions includes: 1. sin - 1 x, 2. cos - 1 x, 3. tan - 1 x, 4. cot - 1 x, 5. sec - 1 x, 6. cosec - 1 ..
Inverse Trigonometric Functions
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, ..
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?
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..
Some properties of inverse trigonometric functions
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..
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?
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?
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..
Result
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