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Mathematics ECAT Pre Engineering Chapter 15 Inverse Trigonometric Functions Online Test MCQs With Answers
Question # 1
cos
-1
(cos x) =
Choose an answer
x
cos x
x = 1/x
cos
-2
x
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Question # 2
The exact degree value of the function sin-1( -√3/2) is
Choose an answer
70
ο
50
ο
90
ο
60
ο
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Question # 3
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Question # 4
If 2 tan
1
(cos x) = tan
-1
(cosec
2
x), then x is equal to
Choose an answer
π
/ 3
π
/ 2
π
/ 6
π
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Question # 5
sin
-1
x =
Choose an answer
tan
-1
x
Cosec
-1
x
Cosec x
cosec
-1
(1/x)
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Question # 6
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Question # 7
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Question # 8
Cos
-1
12/13 =
Choose an answer
tan
-1
3/5
cot
-1
13/12
Sec
-1
13/12
sin
-1
5/13
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Question # 9
Choose an answer
Cos 2x = sin 4y
Cos 4y = cos 2x
Cos 3y = sin 4x
None of these
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Question # 10
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π / 3
π / 4
π / 2
π
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Question # 11
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 # 12
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Question # 13
The principal value of sin
-1
[-√(√3) /2] is
Choose an answer
5π/3
-2π/3
-
π/3
π/3
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Question # 14
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Question # 15
Sin -1 x=
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sin(π/2-x)
Sin-1 (π/2-x)
π/2-cos-1x
π/2 + cos-1x
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Question # 16
The Principal value of sin-1 (-1/1/2)
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π/2
-π/2
π
-π
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Question # 17
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π / 4
π / 6
π / 3
0
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Question # 18
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Question # 19
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 # 20
Choose an answer
1/3
1
3
None of these
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Question # 21
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Question # 22
sin -1(sin2π/3) =
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π/2
2π/3
-3π/2
π/3
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Question # 23
x = sin
-1
3, then the value of sin x is
Choose an answer
√(3/2)
3
Not possible
-1
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Question # 24
In the interval 0≤ x ≤ π, the sine is
Choose an answer
Not a function
Not defined
Infinity
Not one-to-one function
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Question # 25
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x = 3
x = 1/5
x = 0
None of these
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Question # 26
Sin-1(-x)=
Choose an answer
x
-x
-sin-1 x
cos-1 x
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Question # 27
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0
1
-1
None of these
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Question # 28
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 # 29
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Question # 30
The domain of the principle cos function is
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Question # 31
The exact value of cos-1 (0) is
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π/2
-π/2
3π
π-π/6
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