Short Quiz - Chapter 3 Class 11 Trigonometric Functions

Question 1 of 5

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 5

NCERT Exemplar

If $\sin \theta+\operatorname{cosec} \theta=2$, then $\sin ^2 \theta+\operatorname{cosec}^2 \theta$ is equal to

A 1 B 4 C 2 D None of these

Select one option. Answers are shown after the test.

Question 3 of 5

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 4 of 5

NCERT Exemplar

The value of $\frac{1-\tan ^2 15^{\circ}}{1+\tan ^2 15^{\circ}}$ is

A 1 B $\sqrt{3}$ C $\frac{\sqrt{3}}{2}$ D 2

Select one option. Answers are shown after the test.

Question 5 of 5

NCERT Exemplar

The value of $\sin 50^{\circ}-\sin 70^{\circ}+\sin 10^{\circ}$ is equal to

A 1 B 0 C $\frac{1}{2}$ D 2

Select one option. Answers are shown after the test.

Class 6