NCERT Solutions for class 12 Maths | Chapter 2 - Inverse Trigonometric Functions

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Questions
1 cot-1(1)
A π/3
B π/4
C π/2
D 0

Answer:π/4
2 tan-1(√3)
A π/6
B π/3
C 2π/3
D 5π/6

Answer:π/3
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3 tan-1 √3 – sec-1 (-2) is equal to
A π
B –π/3
C π/3
D 2π/3

Answer:–π/3
4 Princal value of tan-1 (-1) is
A π/4
B −π/2
C 5π/4
D −π/4

Answer:−π/4
5 sin-1 x = y Then
A 0 ≤ y ≤ π
B –π/2 ≤ y ≤ π/2
C 0 < y < π
D –π/2 < y < –π/2

Answer:–π/2 ≤ y ≤ π/2
6 tan-11/2 + tan-1 2/11 = tan-1 a then a = ?
A 1/4
B 1/2
C 3/4
D 1

Answer:3/4
7 The domain of the following f(x) = is
A [0, 1]
B [-1, 1]
C [-, 0]
D [0, 1]

Answer:[0, 1]
8 The domain of the function defined by f (x) = sin-1 is
A [1, 2]
B [-1, 1]
C [0, 1]
D None of these

Answer:[1, 2]
9 The value of sin (2 tan-1 (.75)) is equal to
A .75
B 1.5
C .96
D sin 1.5

Answer:.96
10 If |x| ≤ 1, then 2 tan-1 x + sin-1(2x/1+x2) is equal to
A 4 tan-1 x
B π2
C 0
D π

Answer:4 tan-1 x
11 cos-1(1/2)
A –π/3
B π/3
C π/2
D 2π/3

Answer:π/3
12 cos-1(√3/2)
A 5π/6
B π/6
C 4π/9
D 2π/3

Answer:5π/6
13 cot-1(-√3)
A 5π/6
B π/3
C π/2
D π/4

Answer:5π/6
14 The principle value of sin-1 √3/2 is
A 2π/3
B π/6
C π/4
D π/3

Answer:π/3
15 Princal value of cos-1(−1/√2)
A 3π/4
B 5π/4
C –π/4
D None of these

Answer:3π/4
16 If y = sec-1 x then
A 0 ≤ y ≤ π
B 0 ≤ y ≤ π/2
C –π/2 < y < π/2
D None of these

Answer:None of these
17 sin[π/3 – sin-1(-1/2)] is equal to
A 1/2
B 1/3
C 1/4
D 1

Answer:1
18 The value of cos-1(1/2) + 2sin-1(1/2) is equal to
A π/4
B π/6
C 2π/3
D 5π/6

Answer:π/6
19 tan-11/2 + tan-11/3 =
A π/4
B π/2
C π/3
D π

Answer:π/4
20 Which of the following is the principal value branch of cosec-1 x?
A (−π/2, π/2)
B (0, π) – {π/2}
C [−π/2, π/2]
D [−π/2, π/2] – [0]

Answer:[−π/2, π/2] – [0]

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