v The angles of a triangle a
v
The angles of a triangle are in A.P. and the least angle is 300.
The greatest angle in radians is
[
p/2 radians
[
p/3 radians
[
p/4
radians
[
p radians
v
If sin A = cos A, 00 < A < 900, then A is
equal to
[ 150
[ 300
[
450
[ 600
v
tan 750 – cot 750 is equal to
[
4
[ 2 +
Ö3
[ 2
- Ö3
[ 2Ö3
v
If sin A + cos A = 1, then sin 2A is equal to
[
1
[ 2
[
0
[ ½
v
sin 2000 + cos 2000 is
[
negative
[ positive
[
zero
[ zero or positive
v
If ABCD is a cyclic quadrilateral, then
[ sin (A + C) =
1
[ sin (B + D) = 1
[
cos (A + C) = 1
[ cos (A + C) = -1
v
If sin x + cos x = a then the value of |sin x – cos x| is
[
Ö(2 – a2)
[
Ö(2 + a2)
[
Ö(a2 -
2)
[ none of these
v
In a triangle ABC, cosec A (sin B cos C + cos B sin C) is equal to
[
c/a
[ a/c
[
1
[ none of these
v
If cos (a + b) = 0, then sin (a + 2b) is equal to
[ - sin
a
[ cos a
[
sin b
[ cos b
v
The roots of the equation 4 x2 - 2Ö5
x + 1= 0 are
[ sin 360, sin 180
[ sin 180, sin 360
[
sin 360, cos 180
[ cos 360, cos 180
v
For non-zero real numbers x and y the equality (x + y)2
sec2 q = 4 xy is possible
only when
[ x + y =
1
[ x + y = -1
[ x
- y = 0
[ x + y = 0
v
If a is any real number, then the number of roots of cot x – tan x
= a in the first quadrant are
[
2
[ 0
[
1
[ none of these
v
If sin (300 - q)
= cos (600 + f), then
[
f - q = 300
[
f - q = 0
[
f + q
= 600
[
f - q = 600
v
The least value of 2 sin2q
+ 3 cos2q is
[
1
[ 2
[
3
[ 5
v
If tan q + sec
q = Ö3,
0<q<p,
then q is equal to
[ 5p/6
[ 2p/3
[
p/6
[
p/3
v
If tan A + cot A = 4, then tan4q
+ cot4q is equal to
[
110
[ 191
[
80
[ 194
[
195
v
If tan A = ½ and tan B = 1/3, then the value of A + B
is
[
p/4
[ 0
[
p
[
p/3
v
If sin q - cos
q = 0 and 0<q£p/2,
then q is equal to
[
p/2
[
p/4
[
p/6
[ 0
v
The number of values of x in the interval [0, 5p]
satisfying the equation 3 sin2x – 7 sinx + 2 = 0
[
0
[ 5
[
6
[ 10
v
The number of all possible triplets (a1, a2,
a3) such that a1 + a2 cos 2x + a3
sin2x = 0 for all x is
[
0
[ 1
[
2
[ infinite
v
The smallest positive root of the equation tanx – x = 0 lies on
[ (0,
p/2)
[ (p/2,
p)
[ (p,
3p/2)
[ (3p/2,
2p)
v
The equation 3 cos x + 4 sin x = 6 has ______ solution
[
finite
[ infinite
[
no
[ one
v
The number of solutions in 0£x£p/2,
of the equation cos 3x tan 5x = sin 7x is
[
7
[ 6
[
5
[ none of these
v
The number of points of intersection of the two curves y = 2 sin x
and y = 5x2 + 2x + 3 is
[
0
[ 1
[
2
[
¥
v
The range of y such that the equation in x, y + cos x = sin x has
a real solution is
[ [-2,
2]
[ [-Ö2,
Ö2]
[
[-1, 1]
[ [-1/2, 1/2]
v
Solution of the equation sin x – cos x =
Ö 2 is
[ 2np
+3p/4
[ 2np
[ np
[ (2n + 1)p,
nÎZ
v
Cos-1(cosx)=x is satisfied by
[ xÎR
[ xÎ[0,
1]
[ xÎ[-1,
1] [
none of these
v
Let f(x) = sec-1x + tan-1x, then f(x) is
real for
[ xÎ[-1,
1]
[ xÎR
[ xÎ(-¥,
-1) È (1,
¥)
[ none of these
v
Principal value of sin-1(sin 2p/3)
is equal to
[ -2p/3
[ 2p/3
[ 4p/3 [
p/3
v
If tan-12, tan-13 are two angles of a
triangle, then the third angle is
[
p/4
[ 3p/4
[
p/2
[ none of these
v
The value of tan2(sec-12) + cot2(cosec-13)
is
[
13
[ 15
[
11
[ none of these
v
If sin-1x – cos-1x =
p/6, then x is
[
½
[
Ö3/2
[
-1/2
[ none of these
v
If cos-1x > sin-1x, then
[ x <
0
[ -1 < x < 1
[ 0£
x <1/Ö2
[ -1
£ x £
1/Ö2
v
Sin(cot-1(tan cos-1x)) is equal to
[
x
[
Ö(1 – x2)
[
1/x
[ none of these
v
The value of cot-13 + cosec-1Ö5
is
[
p/3
[
p/2
[
p/4
[ none of these
v
Sin{sin-1(1/2) – cos-1(1/2)} equals
[
0
[ 1
[
½
[ 1/Ö2
v
Considering only the principal values, if tan(cos-1x) =
sin (cot-11/2), then x equals
[ 1/Ö5
[ 2/Ö5
[3/Ö5
[
Ö5/3
v
If sec-1(1/x) + 2 sin-1(1) =
p, then x equals
[
½
[ 1
[
p/2
[ none of these
v
If sin-1x = p/5,
then cos-1x equals
[
p/10 [
3p/10
[ 5p/4 [
7p/4
v
If x = sin-1K, y = cos-1K, -1£
K £1, then the correct relationship is
[ x + y =
2
[ x - y = 2
[ x
+ y = p/2
[ x - y =
p/2
v
If tan-1(x + 1) + tan-1(x - 1) = tan-1(8/31),
then x =
[
1
[ ½
[
-1/2
[ ¼
v
tan-13 + tan-1 x = tan-18, then x
=
[
5
[ 1/5
[
5/14
[ 14/5
v
If cosh-1x = log(2+Ö3),
then x =
[
2
[ 1
[
3
[ 5
v
The domain of sin-1x is
[ (-p,
p)
[ [-1 1]
[
(0, 2p)
[ (-¥,
¥)
v
If sin(sin-11/5 + cos-1x) = 1, then x is
equal to
[
1
[ 0
[
4/5
[ 1/5
v
If sin-1x + cot-11/2 =
p/2, then x is equal to
[
0
[ 1/Ö5
[
2/Ö5
[
Ö3/2
v
The sum of first 50 terms of the series cot-13 + cot-17
+ cot-113 + cot-121 + …. is
[ tan-1(5/6)
[ tan-1(1000)
[
tan-1(6/5)
[ tan-1(1/100)
v
A solution of the equation tan-1(x + 1) + tan-1(x
- 1) = p/2 is
[ x =
1
[ x = -1
[ x
= 0
[ x =
p
v
The value of cos(2 cos-1x + sin-1x) at x =
1/5 is
[
Ö6/5
[ -2Ö6/5
[
2/5
[ 2Ö6
v
The greater of the two angles A = 2 tan-1(2Ö2
- 1) and B = 3 sin-1(1/3) + sin-1(3/5) is
[
B
[ A
[
C
[ none of these
v
If tan-1 x + tan-1 y + tan-1 z =
p, then x + y + z is equal to
[
xyz
[ 0
[
1
[ 2xyz
[ x2 + y2 + z2
v
If 4 cos-1x + sin-1x =
p, then the value of x is
[
½
[ 1/Ö2
[
Ö3/2
[ 2/Ö3
[
3/2
v
Sec2(tan-1 2) + cosec2(cot-1
3) =
[
5
[ 10
[
15
[ 20
v
If cos-1[Öp
+ cos-1Ö(1 - p) + cos-1Ö(1
- q) = 3p/4, then the value of q is
[ 1/Ö2
[ 1
[1/2
[ 1/3
