Categories: MCQ Questions

Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions

Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Inverse Trigonometric Functions MCQs Pdf with Answers to know their preparation level.

Inverse Trigonometric Functions Class 12 Maths MCQs Pdf

1. Principal value of sin-1 $$\frac{1}{2}$$ is

Explaination:

2. sin-1{sin ($$\frac{2 \pi}{3}$$)} = $$\frac{2 \pi}{3}$$, state true or false.

Explaination: False, as –$$\frac{\pi}{2}$$ ≤ sin<sup>-1</sup> x ≤ $$\frac{\pi}{2}$$.

3. tan-1{sin (-$$\frac{\pi}{2}$$)} is equal to
(a) -1
(b) 1
(c) $$\frac{\pi}{2}$$
(d) –$$\frac{\pi}{4}$$

Explaination:
(d), as sin (-$$\frac{\pi}{2}$$)= -1, and tan<sup>-1</sup>(-1) = – $$\frac{\pi}{4}$$.

4. sec{tan-1 (-$$\frac{y}{3}$$)} is equal to

Explaination:

5. Principal branch of tan-1 x is ______ .

Explaination:

6. Principal value of the expression cos-1[cos(-680°)] is

Explaination:
(a), as cos(-680°) = cos 680°
= cos(720° – 40°) = cos 40°
∴ cos<sup>-1</sup>[cos(-680°)J = cos<sup>-1</sup> (cos 40°)
= 40° = $$\frac{2 \pi}{9}$$.

7. If tan-1x = sin-1($$\frac{1}{\sqrt{2}}$$),then x is ______ .

Explaination: 1, as tan<sup>-1</sup> x = $$\frac{\pi}{4}$$.

8. cos-1 $$\left(\cos \frac{7 \pi}{6}\right)=\frac{7 \pi}{6}$$, state true or false.

Explaination: False, as $$\frac{7 \pi}{6}$$ ∉ [0, π].

9. Find the value of tan-1 √3 – cot-1(-√3). [CBSE 2018]

Explaination:

10. Find the principal value of cos-1 $$\frac{1}{2}$$.

Explaination:

11. Find the principal value of

Explaination:

12. What is the domain of the function sin-1 x?

Explaination: -1 ≤ x ≤ 1 or [-1, 1]

13. Find the value of sin$$\left[\frac{\pi}{3}-\sin ^{-1}\left(-\frac{1}{2}\right)\right]$$. [NCERT; Delhi 2011]

Explaination:

14. Find the principal value of tan-1√3 sec-1(-2). [NCERT; AI 2012]

Explaination:

15. If sin-1 x = $$\frac{\pi}{10}$$, for some x ∈ R, then the value of cos-1 is ______ .

Explaination:

16. If tan-1 x -cot-1 = $$\frac{\pi}{6}$$, then x is ______ .

Explaination:

17. The domain of the function^ = sin’ -‘(V) is
(a) [0, 1]
(b) (0, 1)
(c) [-1, 1]
(d) Φ

Explaination:
(c), as -1 ≤ -x² < 1
⇒ 1 ≥ x² ≥ -1
⇒ 0 ≤ x² ≤ 1
⇒ |x| ≤ 1
⇒ -1 ≤ x ≤ 1.

18. If sec-1 x + sec-1 y = $$\frac{\pi}{2}$$ the value of cosec-1x + cosec-1y is

Explaination:

19. The value of tan²(sec-12) + cot2(cosec-13) is
(a) 5
(b) 11
(c) 13
(d) 15

Explaination:
(b), as tan²(sec<sup>-1</sup>2) + cot²cosec<sup>-1</sup>3)
= sec²(sec<sup>-1</sup>2) – 1 + cosec²(cos 3) – 1
= (2)² – 1 +(3)² – 1
= 4 – 1 +9 – 1 = 11.

20. cot($$\frac{\pi}{4}$$ – 2 cot-13) = 7, state true or false.

Explaination:

21. If 3 sin-1x + cos-1x = π, then x is equal to

Explaination:

22.

Explaination:

23. If cos(tan-1x + cot-1√3) = 0, then value of x is _____ .

Explaination: √3, as tan-1x + cot-1 √3 = $$\frac{\pi}{2}$$
⇒ x = √3

24. If sin-1x + sin-1y + sin-1z = then the value of x + y² + z3 is
(a) 1
(b) 3
(c) 2
(d) 5

Explaination:

25. The domain of y = cos-1(x² – 4) is
(a) [3, 5]
(b) [0, π]
(c) [-√5 ,-√3] ∩ [-√5,√3]
(d) [-√5 ,-√3] ∪ [√3, √5]

Explaination:

26. Show that sin-1(2x$$\sqrt{1-x^{2}}$$) = 2 sin-1 – $$\frac{1}{\sqrt{2}}$$ ≤ x ≤ $$\frac{1}{\sqrt{2}}$$

Explaination:

27. Find the value of sec(tan-1 –$$\frac{1}{2}$$).

Explaination:

28. If sin(sin-1$$\frac{1}{5}$$ + cos-1x) = 1 then find the value of x. [NCERT; HOTS; Delhi 2014]

Explaination:

29. Find the value of
[NCERT; Delhi 2013 (C), 2011]

Explaination:

30.

Explaination:

31. Prove that 3 sin-1 x = sin-1(3x – 4x3),

Explaination:
Let x = sin θ
=> θ = sin-1x
RHS = sin-1(3x – 4x3)
= sin--1 [3 sin θ – 4 sin3 θ]
= sin-1 [sin 3θ] = 3θ = 3 sin-1x = LHS

32. Prove that sin-1x = tan-1$$\left(\frac{x}{\sqrt{1-x^{2}}}\right)$$

Explaination:

33.

Explaination:

34. If sin-1x + sin-1y = $$\frac{2 \pi}{3}$$, then find the value of cos-1x + cos-1y.

Explaination:

35. Find the value oftan(2 tan-1 $$\frac{1}{5}$$). [Delhi 2013]

Explaination:

We hope the given Maths MCQs for Class 12 with Answers Chapter 2 Inverse Trigonometric Functions will help you. If you have any query regarding CBSE Class 12 Maths Inverse Trigonometric Functions MCQs Pdf, drop a comment below and we will get back to you at the earliest.

Kishen

Share
Kishen

CBSE Schools in South India

Education in the southern states of India is one of the best in the country.…

5 hours ago

IGCSE Schools In Bangalore: Check List Of Best International Schools In Bangalore

IGCSE Schools In Bangalore: There is a rise of International Schools in India. More and more…

5 hours ago

ICSE Schools In Mumbai: Check List Of Top 15 ICSE Schools In Mumbai

ICSE Schools In Mumbai: There are several ICSE Schools in Mumbai. Choosing one could be difficult…

5 hours ago

ICSE Schools in Kolkata: List of Top 20 ICSE Schools In Kolkata

ICSE Schools In Kolkata: Are you looking for the best ICSE Schools in Kolkata for your…

5 hours ago

ICSE Schools In Chennai: List Of Top 15 ICSE Schools In Chennai

ICSE Schools In Chennai: If you are looking for the best ICSE Schools in Chennai then…

5 hours ago

CBSE Schools In Chennai | Detailed List of CBSE Affiliated Schools In Chennai

CBSE Schools in Chennai: The Central Board of Secondary Education has always maintained its reliability and…

5 hours ago