CBSE Class 12 Maths Inverse Trigonometric Functions Quiz 3

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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
1

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