26 y cotx Fig 2 6 i Fig 2 6 ii The following table gives the

Last updated: 10/3/2023

26 y cotx Fig 2 6 i Fig 2 6 ii The following table gives the inverse trigonometric function principal value branches along with their domains and ranges Note sin 1 cos cosec sec 1 tan 1 cot 1 MATHEMATICS NCER repub Solution Let sin 2 1 1 1 1 R 1 1 R 1 1 R R Rationalised 2023 24 y Then sin y T T 1 2 2 0 EN EN T T 0 22 0 Y y cotx 1 1 sin x should not be confused with sin x In fact sin x sin x similarly for other trigonometric functions 2 Whenever no branch of an inverse trigonometric functions is mentioned we mean the principal value branch of that function T 3 The value of an inverse trigonometric functions which lies in the range of principal branch is called the principal value of that inverse trigonometric functions We now consider some examples Example 1 Find the principal value of sin 0 and ched