sin We know that the range of the principal value branch of sin is 1 1 TU 4 cot Example 2 Find the principal value of cot Solution Let cot y Then 3 Therefore principal value of sin 1 sin meno 7 sec cot y Find the principal values of the following 1 2 cot 3 3 We know that the range of principal value branch of cot is 0 and 2 1 Hence principal value of cot 9 4 tan 3 2 3 A T 11 tan 1 cos 13 If sin x y then A 0 y n cot 1 2 10 cosec 2 Find the values of the following 2 cos 5 cos EXERCISE 2 1 B Cop sin C 0 y n 14 tan 3 sec 2 is equal to cot 8 cot 3 3 3 2 er 2 Rationalised 2023 24 11 12 D EN IS IS 3 cosec 2 6 tan 1 2 3 INVERSE TRIGONOMETRIC FUNCTIONS 27 9 cos T B 1 120 2 T 12 cos CERT p I 1 2 2 11 2 2 sin 11 2 w 5 and 2 ublished 2 3 Properties of Inverse Trigonometric Functions In this section we shall prove some important properties of inverse trigonometric functions It may be mentioned here that these results are valid within the principal