10 Question MCQ (including Assertion)

Question 1 of 10

NCERT Exemplar

The value of

$$ \sin 20^{\circ} \sin 40^{\circ} \sin 60^{\circ} \sin 80^{\circ} $$

is

A $-\frac{3}{16}$ B $\frac{5}{16}$ C $\frac{3}{16}$ D $\frac{1}{16}$

Select one option. Answers are shown after the test.

Question 2 of 10

NCERT Exemplar

If $\tan \theta=3$ and $\theta$ lies in third quadrant, then the value of $\sin \theta$ is

A $\frac{1}{\sqrt{10}}$ B $-\frac{1}{\sqrt{10}}$ C $\frac{-3}{\sqrt{10}}$ D $\frac{3}{\sqrt{10}}$

Select one option. Answers are shown after the test.

Question 3 of 10

NCERT Exemplar

Which of the following is not correct?

A $\sin \theta=-\frac{1}{5}$ B $\cos \theta=1$ C $\sec \theta=\frac{1}{2}$ D $\tan \theta=20$

Select one option. Answers are shown after the test.

Question 4 of 10

NCERT Exemplar

The value of $\cot \left(\frac{\pi}{4}+\theta\right) \cot \left(\frac{\pi}{4}-\theta\right)$ is

A -1 B 0 C 1 D Not defined

Select one option. Answers are shown after the test.

Question 5 of 10

NCERT Exemplar

The value of $\sin \frac{\pi}{10} \sin \frac{13 \pi}{10}$ is

A $\frac{1}{2}$ B $-\frac{1}{2}$ C $-\frac{1}{4}$ D 1

Select one option. Answers are shown after the test.

Question 6 of 10

NCERT Exemplar

Which of the following is correct?

A $\sin 1^{\circ}>\sin 1$ B $\sin 1^{\circ}<\sin 1$ C $\sin 1^{\circ}=\sin 1$ D $\sin 1^{\circ}=\frac{\pi}{18^{\circ}} \sin 1$ [

Select one option. Answers are shown after the test.

Question 7 of 10

NCERT Exemplar

If $\sin \theta=\frac{-4}{5}$ and $\theta$ lies in third quadrant then the value of $\cos \frac{\theta}{2}$ is

A $\frac{1}{5}$ B $-\frac{1}{\sqrt{10}}$ C $-\frac{1}{\sqrt{5}}$ D $\frac{1}{\sqrt{10}}$

Select one option. Answers are shown after the test.

Question 8 of 10

NCERT Exemplar

The value of

$$ \cos \frac{\pi}{5} \cos \frac{2 \pi}{5} \cos \frac{4 \pi}{5} \cos \frac{8 \pi}{5} $$

is

A $\frac{1}{16}$ B 0 C $-\frac{1}{8}$ D $-\frac{1}{16}$

Select one option. Answers are shown after the test.

Question 9 of 10

NCERT Exemplar

The value of $\cos 12^{\circ}+\cos 84^{\circ}+\cos 156^{\circ}+\cos 132^{\circ}$ is

A $\frac{1}{2}$ B 1 C $-\frac{1}{2}$ D $\frac{1}{8}$

Select one option. Answers are shown after the test.

Question 10 of 10

NCERT Exemplar

If $f(x)=\cos ^2 x+\sec ^2 x$, then

A $f(x)<1$ B $f(x)=1$ C $2<f(x)<1$ D $f(x) \geq 2$ [

Select one option. Answers are shown after the test.

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10 Question MCQ (including Assertion)