- Books Name
- Mathmatics Book Based on NCERT
- Publication
- KRISHNA PUBLICATIONS
- Course
- CBSE Class 12
- Subject
- Mathmatics
Chapter-2
Inverse Trigonometric functions
Basic concepts , Domain and Range ,Principal Branch:
Let y = sinx => x = sin-1y
- should not be confused with . In fact
- i.e., ¹
- And similarly for other trigonometric functions.
- The value of an inverse trigonometric functions which lies in its principal value branch is called the principal value of that inverse trigonometric functions.
- The domains and ranges (principal value branches) of inverse trigonometric functions are given in the following table:
- The functions
sin−1x & tan−1x
are increasing functions in their domain.
- The functions
cos−1x & cot−1x
are decreasing functions in over domain.
For suitable values of domain, we have
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