[10 Questions] Objective question of Inverse trigonometric function

Hello friends, Inverse trigonometric function is a new chapter for you in class 12 and you are trying to solve best question and typical questions so that you can score good marks. But You are familier with Simple Trigonometric function. They are very easy because you are learning it from 10 class.

So for your practice of inverse trigonometric function we take out some good questions for you. Please try to solve these question yourself and after solving try to give answer.                   


                     

Question 1. >> Find the domain of the following functions:

1. Sin x + Sin^-1 x
2. Sin^-1 (1-x).

Question 2. >> Find the domain of the functions Cos^-1 (3x-2).

Question 3. >> Find the  domain of the functions Sec^-1 (2x-3).

Questions 4. >> Write the range of one branch of Sin^-1 x other than the principal branch.

Question 5. >> Write the range of one branch of Cos^-1 x   , other than the principal branch.

Questions 6. >> Find the value of Sec (Tan^-1 (-√3))

Questions 7. >> Find the value of Cot ( Sin^-1 x + Cos^-1 x) , |x| < 1

Questions 8. >> Give an example of two non-zero matrices A and B such that AB = O

Questions 9. >> Give an example of two non-zero matrices A and B such that AB = O but BA ≠ O

Questions 10. >> If a matrix of order 3 X 3 and B is a matrix of 2 X 3, can you find AB ?