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

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Free download in PDF Class 12 Maths Chapter 2 Chapter 2 Inverse Trigonometric Functions Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) The value of cos-1[cos(33π/5)] is
[A] 3π/5
[B] −3π/5
[C] π/10
[D] –−π/10
Answer: 3π/5
(2) The value of cos-1 (cos 3π/2) is equal to
[A] π/2
[B] 3π/2
[C] 5π/2
[D] –7π/2
Answer: π/2

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(3) If sin-1 where a, x ∈ |0, 1| then the value of x is
[A] 0
[B] a/2
[C] a
[D] 2a/1−a2
Answer: 2a/1−a2
(4) The number of real solution of the equation is

√2cos-1(cos x) in [π/2, π] is

[A] 0
[B] 1
[C] 2
[D] None of these
Answer: 2
(5) sec-1(−2/√3)
[A] π/6
[B] π/3
[C] 5π/6
[D] –2π/3
Answer: 5π/6
(6) cosec-1(−2/√3)
[A] –π/3
[B] π/3
[C] π/2
[D] –π/2
Answer: –π/3
(7) sec-1(2)
[A] π/6
[B] π/3
[C] 2π/3
[D] 5π/6
Answer: π/3
(8) tan-1 + cos-1 (−1/2) + sin-1 (−1/2)
[A] 2π/3
[B] 3π/4
[C] π/2
[D] 6/π
Answer: 3π/4
(9) cos-1 (−1/2) + 2sin-1 (−1/2)
[A] π/3
[B] 2π/3
[C] 3π/4
[D] 5π/8
Answer: π/3
(10) If cot-1 (√cosα) – tan-1 (√cosα) = x then sin x is equal to
[A] tan² (α/2)
[B] cot² (α/2)
[C] tan α
[D] cot (α/2)
Answer: tan² (α/2)
(11) If sin(πcot x) = cos(πtan x), then cot 2x is equals to
[A] n - 1/4
[B] n + 1/4
[C] 4n + 1
[D] 4n - 1
Answer: n + 1/4
(12) The value of sin{2 sin-1 (0.8)} is
[A] 1
[B] 0.96
[C] 0.80
[D] none of these
Answer: 0.96
(13) If x + 1/x = 2, then the principle value of cos-1 x is
[A] π
[B] 3π/2
[C] π/2
[D] 0
Answer: 0
(14) sin{sin-1 (1/2) + cos-1 (1/2)} is equals to
[A] 0
[B] 1
[C] -1
[D] 2
Answer: 1
(15) If π/2 ≤ x ≤ 3π/2, then sin-1 (sin x) is equals to
[A] π
[B] x
[C] π - x
[D] π + x
Answer: π - x
(16) If r2 = x2 + y2 + z2 then tan-1 (yz/xr) + tan-1 (xz/yr) + tan-1 (xy/zr) is equals to
[A] π/4
[B] π/3
[C] π/2
[D] None of these
Answer: π/2
(17) If tan-1 (a/x) + tan-1 (a/x) = π/2, the x =
[A] √a
[B] √b
[C] √ab
[D] none of these
Answer: √ab
(18) The value of tan-1 (1/3) + tan-1 (1/5) + tan-1 (1/7) + tan-1 (1/8) is
[A] π/4
[B] π/3
[C] π/2
[D] None of these
Answer: π/4
(19) If cos 20 = k and cos x = 2k2 - 1, then the possible values of x between 0 and 360 degrees are
[A] 140 degree
[B] 40 degree and 140 degree
[C] 40 degree and 320 degree
[D] 50 degree and 130 degree
Answer: 40 degree and 320 degree
(20) Domain of the function f (x) = sin-1 x is
[A] [0,1]
[B] R
[C] [ -1, 1]
[D] none of these
Answer: [ -1, 1]

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