2. inverse trigonometric function - Gujarat Board (GSEB) STD 12 Science Maths Questions - Vidyadip

Question types

2. inverse trigonometric function question types

314 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

314

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

2. inverse trigonometric function questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

${\sin ^{ - 1}}\left[ {x\sqrt {1 - x} - \sqrt x \sqrt {1 - {x^2}} } \right] = $

A
${\sin ^{ - 1}}x + {\sin ^{ - 1}}\sqrt x $
✓
${\sin ^{ - 1}}x - {\sin ^{ - 1}}\sqrt x $
C
${\sin ^{ - 1}}\sqrt x - {\sin ^{ - 1}}x$
D
None of these

Answer: B.

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Q 2M.C.Q (1 Marks)1 Mark

If ${\tan ^{ - 1}}\frac{{1 - x}}{{1 + x}} = \frac{1}{2}{\tan ^{ - 1}}x$, then $ x =$

A
$1$
B
$\sqrt 3 $
✓
$\frac{1}{{\sqrt 3 }}$
D
None of these

Answer: C.

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Q 3M.C.Q (1 Marks)1 Mark

If $\frac{\pi }{2} \le x \le \frac{{3\pi }}{2},$ then ${\sin ^{ - 1}}(\sin x)$ is equal to

A
$x$
B
$ - x$
C
$\pi + x$
✓
$\pi - x$

Answer: D.

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Q 4M.C.Q (1 Marks)1 Mark

If $\pi \le x \le 2\pi $, then ${\cos ^{ - 1}}(\cos x)$ is equal to

A
$x$
B
$ - x$
C
$2\pi + x$
✓
$2\pi - x$

Answer: D.

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Q 5M.C.Q (1 Marks)1 Mark

The value of ${\sin ^{ - 1}}(\sin 10)$ is

A
$10$
B
$10 - 3\pi $
✓
$3\pi - 10$
D
None of these

Answer: C.

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