STD 11 - Trigonometrical equations - CBSE STD 11 Science Maths Questions - Vidyadip

Question types

STD 11 - Trigonometrical equations question types

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

310

Questions

1

Question groups

5

Question types

M.C.Q (1 Marks)

Sample Questions

STD 11 - Trigonometrical equations 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

General solution of the equation $\cot \theta - \tan \theta = 2$ is

A
$n\pi + \frac{\pi }{4}$
✓
$\frac{{n\pi }}{2} + \frac{\pi }{8}$
C
$\frac{{n\pi }}{2} \pm \frac{\pi }{8}$
D
None of these

Answer: B.

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

If $\sqrt 3 \cos \,\theta + \sin \theta = \sqrt 2 ,$ then the most general value of $\theta $ is

A
$n\pi + {( - 1)^n}\frac{\pi }{4}$
B
${( - 1)^n}\frac{\pi }{4} - \frac{\pi }{3}$
C
$n\pi + \frac{\pi }{4} - \frac{\pi }{3}$
✓
$n\pi + {( - 1)^n}\frac{\pi }{4} - \frac{\pi }{3}$

Answer: D.

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

If ${\sin ^2}\theta - 2\cos \theta + \frac{1}{4} = 0,$ then the general value of $\theta $ is

A
$n\pi \pm \frac{\pi }{3}$
✓
$2n\pi \pm \frac{\pi }{3}$
C
$2n\pi \pm \frac{\pi }{6}$
D
$n\pi \pm \frac{\pi }{6}$

Answer: B.

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

If $\sqrt 2 \sec \theta + \tan \theta = 1,$ then the general value $\theta $ is

A
$n\pi + \frac{{3\pi }}{4}$
B
$2n\pi + \frac{\pi }{4}$
✓
$2n\pi - \frac{\pi }{4}$
D
$2n\pi \pm \frac{\pi }{4}$

Answer: C.

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

If $2\sin \theta + \tan \theta = 0$, then the general values of $\theta $ are

A
$2n\pi \pm \frac{\pi }{3}$
✓
$n\pi ,2n\pi \pm \frac{{2\pi }}{3}$
C
$n\pi ,2n\pi \pm \frac{\pi }{3}$
D
$n\pi ,\,\,n\pi + \frac{{2\pi }}{3}$

Answer: B.

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