Class | XII |
Subject | Mathematics - Eng |
Chapter | II - Inverse Trigonometric Functions |
Inverse Trigonometric Functions - Introduction
In Chapter 1, we have studied the inverse of function f, which is denoted from f-1, exists if f is monotonous and covering. There are many tasks that are not one or the other, covering or both and, therefore, we cannot talk about their inverse. In class XI, we studied that trigonometric functions are not monotonous and are on their natural domains and campuses and hence their inversions do not exist.
In this chapter, we will study restrictions on the domains and categories of trigonometric functions that ensure the existence of their inverses and observe their behavior through graphical representation. In addition, some of the primary qualities will also be discussed. Inverse trigonometric functions play an important role in calculus as they define many integrals. The concept of inverse trigonometric functions is also used in science and engineering.