MCQs Questions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions
In this 21st century, Multiple Choice Questions (MCQs) play a major role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns.
In most of the competitive examinations, only MCQ Questions are asked.
In future, if you want to prepare for competitive examination, then you should more focus on the MCQ questions. Thus, let’s solve these MCQs Questions to make our foundation very strong.
In this post, you will find 15 MCQs questions for class 12 maths chapter 2 inverse trigonometric functions.
MCQs Questions for Class 12 Maths Chapter 2 Inverse
Trigonometric Functions
1. What is the value of x
+ y + z, if cos-1 x + cos-1 y + cos-1 z = 3Ï€?
(a) -1/3
(b) 3
(c) 1
(d) -3
Answer: d
2. If sin-1(x2 –
7x + 12) = nÏ€, ∀ n ∈ I, then the value of x is
(a) -2
(b) -3
(c) 4
(d) 5
Answer: c
3. The value of sin-1 (sin2Ï€/3) is
(a) π/3
(b) π/6
(c) 4Ï€/3
(d) 2Ï€/3
Answer: a
4. If tan-1 (cot θ) = 2θ, then the value of θ is
(a) π/3
(b) π/4
(c) π/6
(d) None of
these
Answer: c
5. If tan-1 3 + tan-1 x = tan-1 8,
then the value of x is
(a) 1/5
(b) 5
(c) 5/14
(d) 14/5
Answer: a
6. Which value is similar to sin-1sin(6Ï€/7)?
(a) sin-1(Ï€/7)
(b) cos-1(Ï€/7)
(c) sin-1(2Ï€/7)
(d) coses-1(Ï€/7)
Answer: a
7. The value of sin (sec-1 x + cosec-1x) is
(a) 1
(b) -1
(c) π/2
(d) π/3
Answer: a
8. If 6 sin-1 (x2 – 6x + 8.5) =
Ï€, then the value of x is
(a) 1
(b) 8
(c) 3
(d) 2
Answer: d
9. If sin-1 (1 – x) – 2sin-1 x
= π/2, then the value of x is
(a) 0
(b) 1/2
(c) 1/4
(d) -1/2
Answer: a
10. What is the value of cos-1(-x) for all x
belongs to [-1, 1]?
(a) cos-1(-x)
(b) Ï€ – cos-1(x)
(c) Ï€ – cos-1(-x)
(d) π + cos-1(x)
Answer: b
11. If we simplify cos-1 (4x3 –
3x), we get
(a) 3 cos-1x
(b) 3 sin-1x
(c) Ï€ – 3
sin-1x
(d) None of
these
Answer: a
12. If 2 tan-1 (cos x) = tan-1 (2 cosec x),
then the value of x is
(a) 0
(b) π/3
(c) π/2
(d) π/4
Answer: d
13. The value of sin (2 tan-1 (0.75)) is
(a) 0.75
(b) 1.5
(c) 0.96
(d) sin 1.5
Answer: c
14. The value of x for which
sin |cot-1 (1 – x)| = cos (tan-1 x) is
(a) 2/1
(b) 1
(c) 0
(d) ½
Answer: d
15. Find the value of sec2 (tan-1 2)
+ cosec2 (cot-1 3).
(a) 12
(b) 5
(c) 15
(d) 9
Answer: c