CBSE  /  Class 12  /  Maths  /  Inverse Trigonometric Functions

  • 1. 
    tan\(\frac{1}{2}\) + tan\(\frac{1}{3}\) =

  • \(\frac{π}{4}\)
  • \(\frac{π}{2}\)
  • \(\frac{π}{3}\)
  • π

  • 2. 
    If sin x + sin y = \(\frac{2π}{3}\) then cos x + cos y =

  • \(\frac{2π}{3}\)
  • \(\frac{π}{4}\)
  • \(\frac{π}{3}\)
  • \(\frac{π}{2}\)

  • 3. 
    The principal value of cosec (-2) is

  • –\(\frac{2π}{3}\)
  • \(\frac{π}{6}\)
  • \(\frac{2π}{3}\)
  • –\(\frac{π}{6}\)

  • 4. 
    The domain of the following f(x) = \(\sqrt{sin^{-1}x}\) is

  • [0, 1]
  • [-1, 1]
  • [-, 0]
  • [0, 1]

  • 5. 
    Which of the following is the principal value branch of cos x?

  • [\(\frac{-π}{2}\), \(\frac{π}{2}\)]
  • (0, π)
  • (0, π)
  • (0, π) – {\(\frac{π}{2}\)}

  • 6. 
    Which of the following is the principal value branch of cosec x?

  • (\(\frac{-π}{2}\), \(\frac{π}{2}\))
  • (0, π) – {\(\frac{π}{2}\)}
  • [\(\frac{-π}{2}\), \(\frac{π}{2}\)]
  • [\(\frac{-π}{2}\), \(\frac{π}{2}\)] – [0]

  • 7. 
    The value of cos[cos(\(\frac{33π}{5}\))] is

  • \(\frac{3π}{5}\)
  • \(\frac{-3π}{5}\)
  • \(\frac{π}{10}\)
  • –\(\frac{-π}{10}\)

  • 8. 
    The domain of the function cos(2x – 1) is

  • [0, 1]
  • [-1, 1]
  • [-1, -1]
  • [0, π]

  • 9. 
    The domain of the function defined by f (x) = sin \(\sqrt{x-1}\) is

  • [1, 2]
  • [-1, 1]
  • [0, 1]
  • None of these

  • 10. 
    If cos(sin\(\frac{2}{5}\) + cosx) = 0 then x is equal to

  • \(\frac{1}{5}\)
  • \(\frac{2}{5}\)
  • 0
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