Class 12th Ncert|Inverse trigonometric functions| Easy to understand

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Mathematics Notes for Class 12 Chapter 2
Inverse Trigonometric Functions
Inverse Function

If y = f(x) and x = g(y) are two functions such that f (g(y)) = y and g (f(y)) = x, then f and y are
said to be inverse of each other

i.e., g = f-1

IF y = f(x), then x = f-1(y)

Inverse Trigonometric Functions

If y = sin X-1, then x = sin-1 y, similarly for other trigonometric functions.

This is called inverse trigonometric function .

Now, y = sin-1(x), y ∈ [π / 2 , π / 2] and x ∈ [-1,1].

(i) Thus, sin-1x has infinitely many values for given x ∈ [-1, 1].

(ii) There is only one value among these values which lies in the interval [π / 2 , π / 2]. This
value is called the principal value.

Domain and Range of Inverse Trigonometric FunctionsGraphs of Inverse Trigonometric
Functions




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Properties of Inverse Trigonometric Functions

Property I

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