Short Quiz

Question 1 of 5

NCERT Exemplar

The value of $\tan 75^{\circ}-\cot 75^{\circ}$ is equal to

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

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Question 2 of 5

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

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Question 3 of 5

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

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Question 4 of 5

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 5 of 5

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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Class 6