JOIN ADRE 2.0 Telegram Group

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

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
Advertisement
Article and Schedule Quiz Start Test!

DOWNLOAD CURRENT AFFAIRS PDF FROM APP

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]

ADRE 2.0 FULL LENGTH MOCK TEST

Take Mock Tests

Missiles Mock Test Start Test!
SSC MTS Mock Test Start Test
IBPS CLERK MOCK TEST Start Test
SSC MTS 2022 JULY 26 Shift 1 (ENGLISH) Start Test!
SSC GD Previous Year Paper 2021 Nov 17 Shift - I (Hindi) Start Test!
SSC CGL Tier - 1 PYP 2022 April 21 Shift- 1 (ENGLISH) Start Test!
MPSC PAPER I MOCK TEST 1 (ENGLISH) Start Test!
IB Security Assistant Mock test 1 (english) Start Test!
UP POLICE CONSTABLE MOCK TEST 1 Start Test!
DELHI POLICE CONSTABLE MOCK TEST 1 (HINDI) Start Test!

Chapters

Advertisement
Assam Direct Recruitment Test Series