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ECAT Mathematics Chapter 15 Inverse Trigonometric Functions Online Test MCQs With Answers
Question # 1
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Question # 2
sin[cot
-1
{cos(tan
-1
x)}]=
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Question # 3
The exact value of cos
-1
(-1) + cos
-1
(1) =
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π
-π
π/2
π/3
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Question # 4
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Question # 5
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Question # 6
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Question # 7
Sec
-1
x =
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Cos
-1
1/x
cosec
-1
1/x
Cos
-1
(-x)
Tan
-1
x
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Question # 8
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Question # 9
If cos
-1
p + cos
-1
q + cos
-1
r =
π
then p
2
+ q
2
+ r
2
+ 2pqr is equal to
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3
1
2
-1
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Question # 10
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Question # 11
The domain of the principle cos function is
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Question # 12
The principal value of sin-1√(3/2) is
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-π/3
π/3
2π/3
π/2
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Question # 13
The value of sin-1 24/25 is equal to
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csc-1 25/24
sec-1 24/25
2 tan-1 4/5
2cos-1 24/25
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Question # 14
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π / 4
π / 6
π / 3
0
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Question # 15
Ifπ≤x≤2π, then cos-1 (cos x)=
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cos x
-x
1/x
-x
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Question # 16
tan
-1
x > cot
-1
x holds for
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x > 1
x < 1
x = 1
All values of x
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Question # 17
The principal value of sin
-1
(-1/2)
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π/3
π/4
π/6
-π/6
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Question # 18
In the interval 0≤ x ≤ π, the sine is
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Not a function
Not defined
Infinity
Not one-to-one function
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Question # 19
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x = 3
x = 1/5
x = 0
None of these
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Question # 20
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Question # 21
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2
5
7
None of these
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Question # 22
If cos (2 sin-1 x) = 1/9 , then what is the value of x?
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1/3
-2/3
2/3
2/3 , -2/3
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Question # 23
Sin
-1
(-x)=
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Cos
-1
1/x
- Sin
-1
X
Cot
-1
X
None of these
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Question # 24
If tan
-1
3 + tan
-1
x = tan
-1
8, then x=
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5
1/5
5/14
14/5
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Question # 25
tan
-1
(1/4) + tan
-1
(2/9) is equal to
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1/2 cos
-1
(3/5)
1/2 sin
-1
(3/5)
1/2 tan
-1
(3/5)
tan
-1
1/2
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Question # 26
The solution set of the equation tan
-1
x - cot
-1
x = cos
-1
(2 - x) is
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[0, 1]
[-1, 1]
[1, 3]
None of these
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Question # 27
The range of the principle cos function is
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Question # 28
Cos-1 (-x) =
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-x
1/x
tan-1 x
π-cos-1 x
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Question # 29
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Question # 30
The number of triplets (x, y, z) satisfying sin
-1
x +cos
-1
y + sin
-1
z = 2
π
is
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0
2
1
Infinite
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