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Class 12th Ncert|Inverse trigonometric functions| Easy to understand
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  • Course
  • Mathematics
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  • Sixth Year / 12th Grade

Inverse trigonometric functions are the inverses of the basic trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant. In Class 12th NCERT, these functions help us find angles when the values of the trigonometric functions are known. The main inverse trigonometric functions ...

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  • July 12, 2024
  • 9
  • 2023/2024
  • Class notes
  • Pradeep
  • All classes

Subjects

  • cbse class 12th
  • mathematics
  • inversetrigonometry
  • bestnotes
  • handwritten
  • cbse
  • ncert
  • ncertclass12th
  • cbsemathematics
  • trigonometry
  • 12thncert
  • class12th
  • trigonometricfunctions

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  • Mathematics
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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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