Maths

Chapter 2: Inverse Trigonometric Functions NCERT Notes Mathematics for Class 12 Chapter 2: Inverse Trigonometric Functions 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 -1 x 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 Properties of Inverse Trigonometric Functions Property I Property II Property III Property IV Property V Property...