1
QUEST TUTORIALS
Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439
2. tan
cos tan
− −
+
1 1
4
5
2
3
=
(A)
6
17
(B)
17
6
(C)
7
16
(D)
16
7
5. If cos (2 sin -1 x) =
1
9
, then x =
(A) Only
2
3
(B) Only -
2
3
(C)
2
3
, -
2
3
(D) Neither
2
3
nor -
2
3
7. cot -1
1 1
1 1
− + +
− − +
sin sin
sin sin
x x
x x
=
(A) π − x (B) 2 π − x
(C)
x
2
(D) π −
x
2
8. sin (2 sin -1 0.8) =
(A) 0.96 (B) 0.48
(C) 0.64 (D) None of these
9. If cos −1 x + cos −1 y + cos −1 z = π, then
(A) x2 + y2 + z2 + xyz = 0
(B) x2 + y2 + z2 + 2xyz = 0
(C) x2 + y2 + z2 + xyz = 1
(D) x2 + y2 + z2 + zx - 1 = 0
11. tan
21
5 4
1
tan−
−
π
=
(A)
17
7
(B) -
17
7
(C)
7
17
(D) -
7
17
14. If tan −1 2x + tan −1 3x =
π
4
, then x =
(A) - 1 (B)
1
6
(C) - 1,
1
6
(D) None of these
15. The principal value of,
sin −1
sin 2
3
π
is :
(A) -
2
3
π
(B)
2
3
π
(C)
4
3
π(D) None of these
16. sec -1 [sec (- 30º)] =
(A) - 60º (B) - 30º
(C) 30º (D) 150º
19. If tan -1 x + tan -1 y + tan -1 z = π , then
1 1 1
x y y z z x
+ +
=
(A) 0 (B) 1
(C)
1
x y z
(D) x y z
20. If sin -1
2
12
a
a+
- cos -1
1
1
2
2
−
+
b
b
=
INVERSE TRIGONOMETRY
www.myengg.com
The Engineering Universe
1
Entrance Exams ,Engineering colleges in india, Placement details of IITs and NITs
www.myengg.com
