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 Image may be NSFW.
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is
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Answer/Explanation
Answer: d
Explaination:
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2. sin-1{sin (Image may be NSFW.
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)} = Image may be NSFW.
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Answer/Explanation
Answer:
Explaination: False, as –Image may be NSFW.
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≤ sin<sup>-1</sup> x ≤ Image may be NSFW.
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3. tan-1{sin (-Image may be NSFW.
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(a) -1
(b) 1
(c) Image may be NSFW.
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(d) –Image may be NSFW.
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Answer/Explanation
Answer: d
Explaination:
(d), as sin (-Image may be NSFW.
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4. sec{tan-1 (-Image may be NSFW.
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)} is equal to
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Answer/Explanation
Answer: b
Explaination:
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5. Principal branch of tan-1 x is ______ .
Answer/Explanation
Answer:
Explaination:
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6. Principal value of the expression cos-1[cos(-680°)] is
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Answer/Explanation
Answer: a
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° = Image may be NSFW.
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.
7. If tan-1x = sin-1(Image may be NSFW.
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),then x is ______ .
Answer/Explanation
Answer:
Explaination: 1, as tan<sup>-1</sup> x = Image may be NSFW.
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8. cos-1 Image may be NSFW.
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, state true or false.
Answer/Explanation
Answer:
Explaination: False, as Image may be NSFW.
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∉ [0, π].
9. Find the value of tan-1 √3 – cot-1(-√3). [CBSE 2018]
Answer/Explanation
Answer:
Explaination:
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10. Find the principal value of cos-1 Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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11. Find the principal value of
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Answer/Explanation
Answer:
Explaination:
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12. What is the domain of the function sin-1 x?
Answer/Explanation
Answer:
Explaination: -1 ≤ x ≤ 1 or [-1, 1]
13. Find the value of sinImage may be NSFW.
Clik here to view.![\left[\frac{\pi}{3}-\sin ^{-1}\left(-\frac{1}{2}\right)\right]](http://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cfrac%7B%5Cpi%7D%7B3%7D-%5Csin+%5E%7B-1%7D%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Cright%5D&bg=ffffff&fg=000&s=0 "\left[\frac{\pi}{3}-\sin ^{-1}\left(-\frac{1}{2}\right)\right]")
Answer/Explanation
Answer:
Explaination:
Image may be NSFW.
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Image may be NSFW.
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14. Find the principal value of tan-1√3 sec-1(-2). [NCERT; AI 2012]
Answer/Explanation
Answer:
Explaination:
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15. If sin-1 x = Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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16. If tan-1 x -cot-1 = Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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17. The domain of the function^ = sin’ -‘(V) is
(a) [0, 1]
(b) (0, 1)
(c) [-1, 1]
(d) Φ
Answer/Explanation
Answer: c
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 = Image may be NSFW.
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Image may be NSFW.
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Answer/Explanation
Answer: b
Explaination:
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19. The value of tan²(sec-12) + cot2(cosec-13) is
(a) 5
(b) 11
(c) 13
(d) 15
Answer/Explanation
Answer: b
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(Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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21. If 3 sin-1x + cos-1x = π, then x is equal to
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Answer/Explanation
Answer: b
Explaination:
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22.
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Answer/Explanation
Answer:
Explaination:
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23. If cos(tan-1x + cot-1√3) = 0, then value of x is _____ .
Answer/Explanation
Answer:
Explaination: √3, as tan-1x + cot-1 √3 = Image may be NSFW.
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⇒ 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
Answer/Explanation
Answer: b
Explaination:
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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]
Answer/Explanation
Answer:
Explaination:
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26. Show that sin-1(2xImage may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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27. Find the value of sec(tan-1 –Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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28. If sin(sin-1Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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29. Find the value of
Image may be NSFW.
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[NCERT; Delhi 2013 (C), 2011]
Answer/Explanation
Answer:
Explaination:
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30.
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Answer/Explanation
Answer:
Explaination:
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Image may be NSFW.
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31. Prove that 3 sin-1 x = sin-1(3x – 4x3),
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Answer/Explanation
Answer:
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-1Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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33.
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Answer/Explanation
Answer:
Explaination:
Image may be NSFW.
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34. If sin-1x + sin-1y = Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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35. Find the value oftan(2 tan-1 Image may be NSFW.
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Answer/Explanation
Answer:
Explaination:
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