12 class Maths Notes Chapter 2 INVERSE TRIGONOMETRIC FUNCTIONS free PDF| Quick revision Notes class 12 maths

CBSE Revision Notes for CBSE Class 12 Mathematics Inverse Trigonometric Functions Definition, range, domain, principal value branch. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.

Class 12 Maths Chapter-2 INVERSE TRIGONOMETRIC FUNCTIONS Quick Revision Notes Free Pdf

ðŸ”· Chapter - 2 ðŸ”·
ðŸ‘‰  INVERSE TRIGONOMETRIC FUNCTIONS ðŸ‘ˆ

✳️ Inverse Trigonometric Functions :

ðŸ”¹ Trigonometric functions are many-one functions but we know that inverse of function exists if the function is bijective. If we restrict the domain of trigonometric functions, then these functions become bijective and the inverse of trigonometric functions are defined within the restricted domain. The inverse of f is denoted by ' f⁻¹ '.
Let y = f(x) = sin x, then its inverse is x = sin⁻¹y.

✳️ INVERSE CIRCULAR FUNCTIONS

ðŸ‘‰ Note :

(i) Sin⁻¹x & tan⁻¹x are increasing functions in their domain .
(ii) Cos⁻¹x & cot⁻¹x are decreasing functions in over domain.

✳️ PROPERTY - I

✳️ PROPERTY - II

✳️ PROPERTY - III

✳️ PROPERTY - IV

✳️ PROPERTY - V

✳️ NOTE :-

ðŸ”¹ Students are adviced to learn the definition of Sin⁻¹ (sin x) as,

✳️ FORMULAS :-

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