In This Post we are  providing Chapter-2 Inverse Trigonometric Functions NCERT MCQ for Class 12 Math which will be beneficial for students. These solutions are updated according to 2021-22 syllabus. These MCQS  can be really helpful in the preparation of Board exams and will provide you with a brief knowledge of the chapter.

NCERT MCQ ON INVERSE TRIGONOMETRIC FUNCTIONS

Question 1.
sin-1 (sin2π3) =
(a) 2π3
(b) π6
(c) 4π3
(d) π3

Answer: (d) π3

Question 2.
sin-1 (1 – x) – 2 sin-1 x = π2 then x = ?
(a) 0, 12
(b) 1, 12
(c) 12
(d) 0

Answer: (d) 0

Question 3.
tan-1 √3 – sec-1(-2)
(a) π
(b) –π3, 0
(c) π3
(d) 2π3

Answer: (b) –π3, 0

Question 4.
sin(sec-1 x + cosec-1x) =
(a) 1
(b) -1
(c) π2
(d) π3

Answer: (a) 1

Question 5.
2 tan-1 13 + tan-1 17 =
(a) tan-1 4429
(b) π2
(c) 0
(d) π4

Answer: (d) π4

Question 6.
The principle value of sin-1 √32 is
(a) 2π3
(b) π6
(c) π4
(d) π3

Answer: (d) π3

Question 7.
The value of the expression tan-1(12cos-12√5) is
(a) 2 + √5
(b) √5 – 2
(c) √5+24
(d) √5 + 2

Answer: (d) √5 + 2

Question 8.
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: (b) 3 cos-1x

Question 9.
The value of tan(tan-1 45 + tan-1 23) is
(a) 617
(b) 716
(c) 176
(d) None of these

Answer: (d) None of these

Question 10.
tan-1(xy) – tan-1(x−yx+y) is equal to
(a) π3
(b) π4
(c) π2
(d) −3π4

Answer: (b) π4

Question 11.
The value of x for which sin |cot-1(1 – x)| = cos (tan-1 x) is
(a) 21
(b) 1
(c) 0
(d) 12

Answer: (d) 12

Question 12.
Principal value of cos-1(−1√2)
(a) 3π4
(b) 5π4
(c) –π4
(d) None of these

Answer: (a) 3π4

Question 13.
tan-1 √3 – sec-1 (-2) is equal to
(a) π
(b) –π3
(c) π3
(d) 2π3

Answer: (b) –π3

Question 14.
If y = sec-1 x then
(a) 0 ≤ y ≤ π
(b) 0 ≤ y ≤ π2
(c) –π2 < y < π2
(d) None of these

Answer: (d) None of these

Question 15.
If x + 1x = 2 then the principal value of sin-1 x is x
(a) π4
(b) π2
(c) π
(d) 3π2

Answer: (d) 3π2

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