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

Free download in PDF Class 12 Maths 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) tan-1 (√3) + sec-1 (-2) – cosec-1 (2/√3)
[A] 5/π
[B] 2π/3
[C] π/3
[D] 0
Answer: 0
(2) The principle value of sin-1(sin2π/3)is
[A] 2π/3
[B] π/3
[C] -π/6
[D] π/6
Answer: π/3
(3) Algebraic expression for sin (cot-1 x) is
[A] 1/1+x2
[B] multiple choice questiona
[C] multiple choice questiona
[D] None of these
Answer: multiple choice questiona
(4) cos-1(cos7π/6) is equal to
[A] 7π/6
[B] 5π/6
[C] π/3
[D] π/6
Answer: 5π/6
(5) cosec-1(2)
[A] π/6
[B] 2π/3
[C] 5π/6
[D] 0
Answer: π/6
(6) If 6 sin-1 (x² – 6x + 8.5) = π, then x is equal to
[A] 1
[B] 2
[C] 3
[D] 8
Answer: 2
(7) tan-1 √3 – sec-1(-2)
[A] π
[B] –π/3, 0
[C] π/3
[D] 2π/3
Answer: –π/3, 0
(8) sin(sec-1 x + cosec-1x) =
[A] 1
[B] -1
[C] π/2
[D] π/3
Answer: 1
(9) sin-1 (1 – x) – 2 sin-1 x = π/2 then x = ?
[A] 0, 1/2
[B] 1, 1/2
[C] 1/2
[D] 0
Answer: 0
(10) The value of x for which sin |cot-1(1 – x)| = cos (tan-1 x) is
[A] 2/1
[B] 1
[C] 0
[D] 1/2
Answer: 1/2
(11) Simplified form of cos-1 (4x3 – 3x)
[A] 3 sin-1x
[B] 3 cos-1x
[C] π – 3 sin-1x
[D] None of these
Answer: 3 cos-1x
(12) 4 tan-1 15 – tan-1 1/239
[A] π
[B] π/2
[C] π/3
[D] π/4
Answer: π/4
(13) Principal value of sin-1(1√2)
[A] π/4
[B] 3π/4
[C] 5π/4
[D] None of these
Answer: π/4
(14) The principal value of cosec-1 (-2) is
[A] –2π/3
[B] π/6
[C] 2π/3
[D] –π/6
Answer: –π/6
(15) Which of the following is the principal value branch of cos-1 x?
[A] [−π/2, π/2]
[B] (0, π)
[C] (0, π)
[D] (0, π) – {π/2}
Answer: (0, π)
(16) If 3 tan-1 x + cot-1 x = π, then x equals
[A] 0
[B] 1
[C] -1
[D] 1/2
Answer: 1
(17) The domain of the function cos-1 (2x – 1) is
[A] [0, 1]
[B] [-1, 1]
[C] [-1, -1]
[D] [0, π]
Answer: [0, 1]
(18) If tan-1 x + tan-1 y = 4π5 then cot-1 x + cot-1 y equals
[A] π/5
[B] 2π/5
[C] 3π/5
[D] π
Answer: π/5
(19) If cos-1 α + cos-1 β + cos-1 γ = 3π, then α(β + γ) + β (γ + α) + γ(α + β) equals
[A] 0
[B] 1
[C] 6
[D] 12
Answer: 6
(20) If cos-1 x > sin-1 x, then
[A] 1/√2 < x ≤ 1
[B] 0 ≤ x < 1/√2
[C] -1 ≤ x < 1/√2
[D] x > 0
Answer: 0 ≤ x < 1/√2

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