CBSE Class 12 Maths Inverse Trigonometric Functions Quiz 3

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CBSE › Class 12 › Maths › Inverse Trigonometric Functions

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

A \(\frac{π}{4}\) B \(\frac{π}{2}\) C \(\frac{π}{3}\) D π

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

A \(\frac{2π}{3}\) B \(\frac{π}{4}\) C \(\frac{π}{3}\) D \(\frac{π}{2}\)

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

A –\(\frac{2π}{3}\) B \(\frac{π}{6}\) C \(\frac{2π}{3}\) D –\(\frac{π}{6}\)

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

A [0, 1] B [-1, 1] C [-, 0] D [0, 1]

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

A [\(\frac{-π}{2}\), \(\frac{π}{2}\)] B (0, π) C (0, π) D (0, π) – {\(\frac{π}{2}\)}

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

A (\(\frac{-π}{2}\), \(\frac{π}{2}\)) B (0, π) – {\(\frac{π}{2}\)} C [\(\frac{-π}{2}\), \(\frac{π}{2}\)] D [\(\frac{-π}{2}\), \(\frac{π}{2}\)] – [0]

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

A \(\frac{3π}{5}\) B \(\frac{-3π}{5}\) C \(\frac{π}{10}\) D –\(\frac{-π}{10}\)

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

A [0, 1] B [-1, 1] C [-1, -1] D [0, π]

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

A [1, 2] B [-1, 1] C [0, 1] D None of these

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

A \(\frac{1}{5}\) B \(\frac{2}{5}\) C 0 D 1

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