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

Question 1 of 10

NCERT Exemplar

The value of $\cos ^2 48^{\circ}-\sin ^2 12^{\circ}$ is

A $\frac{\sqrt{5}+1}{8}$ B $\frac{\sqrt{5}-1}{8}$ C $\frac{\sqrt{5}+1}{5}$ D $\frac{\sqrt{5}+1}{2 \sqrt{2}}$

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Question 2 of 10

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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 $\frac{\pi}{4}$

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Question 3 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 $-\frac{1}{16}$

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Question 4 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 5 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

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Question 6 of 10

NCERT Exemplar

If A lies in the second quadrant and $3 \tan \mathrm{~A}+4=0$, then the value of $2 \cot \mathrm{~A}-5 \cos \mathrm{~A}+\sin \mathrm{A}$ is equal to

A $\frac{-53}{10}$ B $\frac{23}{10}$ C $\frac{37}{10}$ D $\frac{7}{10}$

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Question 7 of 10

NCERT Exemplar

If $\tan \theta=\frac{1}{2}$ and $\tan \phi=\frac{1}{3}$, then the value of $\theta+\phi$ is

A $\frac{\pi}{6}$ B $\pi$ C 0 D $\frac{\pi}{4}$

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Question 8 of 10

NCERT Exemplar

If $\sin \theta$ and $\cos \theta$ are the roots of the equation

$$ a x^2-b x+c=0 $$

then $a, b$, and $c$ satisfy the relation

A $a^2+b^2+2 a c=0$ B $\quad a^2-b^2+2 a c=0$ C $a^2+c^2+2 a b=0$ D $\quad a^2-b^2-2 a c=0$

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Question 9 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 $\frac{3}{\sqrt{10}}$

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Question 10 of 10

NCERT Exemplar

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

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

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