Assignment: Inverse Trigonometric Functions Date: 19th Nov., 2009

1. Find the following (i) (ii)

2. Find the domain and range of the following functions.

(i) (ii) (iii)

3. If y simplifies to then find

4. Let be the line 2334 landyx be the line xy 8 . is the line formed by reflecting across the line and is the line formed by reflecting across x-axis. If is the acute

angle between and such that , where a and b are coprime then find (a+b).

5. Prove that:

6. Prove that:

7. Prove that:

8. If then prove that

9. Let be a function defined then find the complete set of

real values of for which f(x) is onto.

10. If then express the function in the form of

, where a and b are rational numbers.

11. Find the sum of the series:

12. Find the integral values of K for which the system of equations and

possesses solutions and find these solutions.

13. If the total area between the curves on the interval is A, Find the value of 49A. (Take pi=22/7)