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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>
(1)
tan-1 (√3) + sec-1 (-2) – cosec-1 (2/√3)
[A]
5/π
[B]
2π/3
[C]
π/3
[D]
0
(2)
The principle value of sin-1(sin2π/3)is
[A]
2π/3
[B]
π/3
[C]
-π/6
[D]
π/6
(3)
Algebraic expression for sin (cot-1 x) is
[A]
1/1+x2
[D]
None of these
(4)
cos-1(cos7π/6) is equal to
[A]
7π/6
[B]
5π/6
[C]
π/3
[D]
π/6
(5)
cosec-1(2)
[A]
π/6
[B]
2π/3
[C]
5π/6
[D]
0
(6)
If 6 sin-1 (x² – 6x + 8.5) = π, then x is equal to
(7)
tan-1 √3 – sec-1(-2)
[A]
π
[B]
–π/3, 0
[C]
π/3
[D]
2π/3
(8)
sin(sec-1 x + cosec-1x) =
[A]
1
[B]
-1
[C]
π/2
[D]
π/3
(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
(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
(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
(12)
4 tan-1 15 – tan-1 1/239
[A]
π
[B]
π/2
[C]
π/3
[D]
π/4
(13)
Principal value of sin-1(1√2)
[A]
π/4
[B]
3π/4
[C]
5π/4
[D]
None of these
(14)
The principal value of cosec-1 (-2) is
[A]
–2π/3
[B]
π/6
[C]
2π/3
[D]
–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}
(16)
If 3 tan-1 x + cot-1 x = π, then x equals
[A]
0
[B]
1
[C]
-1
[D]
1/2
(17)
The domain of the function cos-1 (2x – 1) is
[A]
[0, 1]
[B]
[-1, 1]
[C]
[-1, -1]
[D]
[0, π]
(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
(19)
If cos-1 α + cos-1 β + cos-1 γ = 3π, then α(β + γ) + β (γ + α) + γ(α + β) equals
(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
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