10 Question MCQ (including Assertion) - Chapter 3 Class 11 Trigonometric Functions

Question 1 of 10

NCERT Exemplar

If $\tan \alpha=\frac{m}{m+1}, \tan \beta=\frac{1}{2 m+1}$, then $\alpha+\beta$ is equal to

A $\frac{\pi}{2}$ B $\frac{\pi}{3}$ C $\frac{\pi}{6}$ D $\frac{\pi}{4}$

Select one option. Answers are shown after the test.

Question 2 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 3 of 10

NCERT Exemplar

The value of $\sin \left(45^{\circ}+\theta\right)-\cos \left(45^{\circ}-\theta\right)$ is

A $2 \cos \theta$ B $2 \sin \theta$ C 1 D 0

Select one option. Answers are shown after the test.

Question 4 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 5 of 10

NCERT Exemplar

If $\sin \theta+\cos \theta=1$, then the value of $\sin 2 \theta$ is equal to

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

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Question 6 of 10

NCERT Exemplar

The value of $\cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \ldots \cos 179^{\circ}$ is

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

Select one option. Answers are shown after the test.

Question 7 of 10

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

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Question 8 of 10

NCERT Exemplar

The value of $\tan 1^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \tan 89^{\circ}$ is

A 0 B 1 C $\frac{1}{2}$ D Not defined

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Question 9 of 10

NCERT Exemplar

If $$\tan \theta=-\frac{4}{3}$$ then $\sin \theta$ is

A $-\frac{4}{5}$ but not $\frac{4}{5}$ B $-\frac{4}{5}$ or $\frac{4}{5}$ C $\frac{4}{5}$ but not $-\frac{4}{5}$ D None of these

Select one option. Answers are shown after the test.

Question 10 of 10

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.

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10 Question MCQ (including Assertion) - Chapter 3 Class 11 Trigonometric Functions