3. trignometrical ratios,functions and identities - Gujarat Board (GSEB) STD 11 Science MATHS Questions - Vidyadip

Question types

3. trignometrical ratios,functions and identities question types

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

521

Questions

1

Question groups

5

Question types

MCQ

Sample Questions

3. trignometrical ratios,functions and identities questions

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

Q 1MCQ1 Mark

If for real values of $x,\cos \theta = x + \frac{1}{x},$ then

A
$\theta $ is an acute angle
B
$\theta $ is a right angle
C
$\theta $ is an obtuse angle
✓
No value of $\theta $ is possible

Answer: D.

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Q 2MCQ1 Mark

The equation ${(a + b)^2} = 4ab\,{\sin ^2}\theta $ is possible only when

A
$2a = b$
✓
$a = b$
C
$a = 2b$
D
None of these

Answer: B.

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Q 3MCQ1 Mark

$(m + 2)\sin \theta + (2m - 1)\cos \theta = 2m + 1,$ if

A
$\tan \theta = \frac{3}{4}$
✓
$\tan \theta = \frac{4}{3}$
C
$\tan \theta = \frac{{2m}}{{{m^2} + 1}}$
D
None of these

Answer: B.

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Q 4MCQ1 Mark

If $\sin A,\cos A$ and $\tan A$ are in $G.P.$, then ${\cos ^3}A + {\cos ^2}A$ is equal to

✓
$1$
B
$2$
C
$4$
D
None of these

Answer: A.

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Q 5MCQ1 Mark

If $\tan \theta + \sec \theta = {e^x},$ then $\cos \theta $ equals

A
$\frac{{({e^x} + {e^{ - x}})}}{2}$
✓
$\frac{2}{{({e^x} + {e^{ - x}})}}$
C
$\frac{{({e^x} - {e^{ - x}})}}{2}$
D
$\frac{{({e^x} - {e^{ - x}})}}{{({e^x} + {e^{ - x}})}}$

Answer: B.

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