Domain And Range Of Inverse Trigonometric Functions Class 12

The inverse trigonometric functions play an important role in calculus for they serve to define many integrals.

Domain and range of inverse trigonometric functions class 12. Cbse class 12 maths notes chapter 2 inverse trigonometric functions. 2 2 basic concepts in class xi we have studied trigonometric functions which are defined as follows. R 1 1.

Domain of inverse trigonometric functions. Here we will learn the domain and range of trigonometric functions. It has been explained clearly below.

Ii there is only one value among these values which lies in the interval π 2 π 2. In class 12 maths we come across a different aspect of trigonometry which is inverse trigonometric functions. More clearly from the range of trigonometric functions we can get the domain of inverse trigonometric functions.

The concepts of inverse trigonometric functions is also used in science and engineering. Trigonometric functions are many one functions but we know that inverse of function exists if the function is bijective. Sine function i e sine.

Sin 1 x cos 1 x tan 1 x cosec 1 x sec 1 x and cot 1 x should not be confused. Let y f x sin x then its inverse is x sin 1 y. The basic trig functions are sin cos tan cot sec and cosec.

Domain and range of inverse. Now y sin 1 x y π 2 π 2 and x 1 1. Define domain and range of inverse trigonometric functions and draw the graphs of inverse trigonometric functions and solve problems.