12th Standard cbse -- Maths - Inverse Trigonometric Functions

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Question - 1

 Principal value of sin-1 \(\frac12\) is

  • A \(\frac{\pi}{3}\)
  • B -\(\frac{\pi}{3}\)
  • C \(\frac{5\pi}{3}\)
  • D \(-\frac{\pi}{6}\)

Question - 2

tan-1{sin (-\(\frac{\pi}{2}\))} is equal to

  • A  -1
  • B 1
  • C  \(\frac{\pi}{2}\)
  • D \(-\frac{\pi}{4}\)

Question - 3

sec{tan-1 (-\(\frac y3\))} is equal to

  • A \(\frac { \sqrt { 9+{ y }^{ 2 } } }{ 9 } \)
  • B \(\frac { \sqrt { 9+{ y }^{ 2 } } }{ 3 } \)
  • C \(\frac { 3 }{ \sqrt { 9+{ y }^{ 2 } } } \)
  • D \(\frac { 9 }{ \sqrt { 9+{ y }^{ 2 } } } \)

Question - 4

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

  • A \(\frac{2\pi}{9}\)
  • B -\(\frac{2\pi}{9}\)
  • C \(\frac{34\pi}{9}\)
  • D \(\frac{\pi}{9}\)

Question - 5

 The domain of the function^ = sin’ -‘(V) is

  • A [0, 1]
  • B  (0, 1)
  • C  [-1, 1]
  • D  Φ

Question - 6

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

  • A \(\pi\)
  • B \(\frac{\pi}{2}\)
  • C \(\frac{3\pi}{2}\)
  • D ≥-ㅠ

Question - 7

The value of tan²(sec-12) + cot2(cosec-13) is

  • A  5
  • B 11
  • C 13
  • D  15

Question - 8

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

  • A 0
  • B \(\frac { 1 }{ \sqrt { 2 } } \)
  • C 1
  • D \(\frac { 1 }{ 2 } \)

Question - 9

If sin-1x + sin-1y + sin-1z = then the value of x + y² + z3 is

  • A 1
  • B 3
  • C 2
  • D 5

Question - 10

 The domain of y = cos-1(x² – 4) is

  • A  [3, 5]
  • B [0, π]
  • C  [-\(\sqrt5\) ,-\(\sqrt3\)] ∩ [-\(\sqrt5\),\(\sqrt3\)]
  • D  [-\(\sqrt5\) ,-\(\sqrt3\)] ∪ [-\(\sqrt5\),\(\sqrt3\)]
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