Page 1 :
Choose the correct answer from the given four options in each of the following question;, , (1 to 17):, 1. The domain of the function cos yI- x is, , (a) [-1,1] (b) (-2, 1] (©) [0,1] (d) none of these, 2. The domain of the function sin“ (x* - 4) is, nT, (a) (3.5) () [-3. z|, () [-V5,-V31N V3, V5) (a) (-V5,-V3] U V3, 51, 3. The domain of the function sin 2x + cos 2x is, (a) [-3-3] ®) F0 () R (d) [1x +1], , 4, The range of the principal value branch of sec” x is, , @ (-2.3] 0) [-3.2] -101 © r)- {2} Om

Page 2 :
5. The value of cos{ + cot-\- 3) i, 3, (a) 1 (b) 8 () 0 (d) -1, , 6, The principal value of sin™ (cos 4) is, , 4x 3, , @® > (b) = (.) = (d) none of these, 7. The value of sin (2 sin“! (0.6)) is, , (a) 0.48 (b) 0.96 (¢) 12 (d) sin (1.2), 8. The equation tan” x- cot’ x = tant (= has, , (a) no solution (b) unique solution, , (c) two solutions (d) infinitely many solutions, 9. Ifas2sin x + cos! x<f, then, , _ ft an = =, () a= -5,p=5 @ a=0,h=%, = _* = 3n = =, , () a= ag : (4) a=0,B=2n, 10. The simplified value of al . - si -4]| is, , @ i Oe 0% @ 2, 11. The principal value of sin” (»n(-5*)] is, , @ * @ -4 oF lar, 12. The principal value of cos [=>{- *) is, , (a) a (b) ; (c) $ (a) =, 13. The principal value of sin ((F)} is, , 2 -2 0% @ -3, , 14. The principal value of tan (tan (-6)) is, (a) -6 (b) 2n-6 (c) 6-2n (d) none of these

Page 3 :
15. sin? (cos x) = 5 — xis valid for, x Q n 3n, , _ Xexs% —Ase<—, (a) -x<x<0 (b) O<x<a @ -7S*S5 (@) 4 q, , 16. If sin x + sin? y = =, then cos“ x + cos"! y is equal to, , (a) x Oe * @*, 17. If cos [sinrt§ + osx] = 0, then x is equal to, 1 2, oo Os Q5 @1