SSC CGL QUANT QUIZ(TRIGONOMETRY)

Question 1:

If $5 \tan \theta=4$ then the value of
$\left(\frac{5 \sin \theta-3 \cos \theta}{5 \sin \theta+3 \cos \theta}\right)$ is:

$1 / 7$

$2 / 7$

$5 / 7$

$2 / 5$

Question 2:

In a triangle $\mathrm{ABC}, \angle A=90^{\circ}, \angle C=55^{\circ}$, $\overline{A D} \perp \overline{B C}$. What is the value of $\angle$ BAD?

$35^{\circ}$

$60^{\circ}$

$45^{\circ}$

$55^{\circ}$

Question 3:

If $\cos \theta+\sin \theta=\sqrt{2} \cos \theta$, then $\cos \theta-\sin \theta$ is:

$\sqrt{2} \tan \theta$

$-\sqrt{2} \cos \theta$

$-\sqrt{2} \sin \theta$

$\sqrt{2} \sin \theta$

Question 4:

If $\tan \theta=\frac{3}{4}$ and $\theta$ is acute angle, then $\operatorname{cosec} \theta$ is :

$\frac{4}{5}$

$\frac{5}{3}$

$\frac{5}{4}$

$\frac{4}{3}$

Question 5:

The greatest value of $\sin ^{4} \theta+\cos ^{4} \theta$ is:

2

3

1

$\frac{1}{2}$

Question 6:

If $\operatorname{cosec} \theta-\cot \theta=\frac{7}{2}$, the value of $\operatorname{cosec} \theta$ is:

$\frac{51}{28}$

$\frac{53}{28}$

$\frac{49}{28}$

$\frac{47}{28}$

Question 7:

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

2

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0

1

Question 8:

Minimum value of $4 \tan ^{2} \theta+9 \cot ^{2} \theta$ is:

1

6

13

12

Question 9:

If $\sin \theta-\cos \theta=\frac{1}{2}$ the value of $\sin \theta+\cos \theta$ is:

$\pm 2$

$\frac{\sqrt{7}}{2}$

2

$-2$

Question 10:

If $\cos \theta=\frac{4}{5}$, then the value of $\frac{\operatorname{cosec} \theta}{1+\cot \theta}$ is:

$\frac{7}{5}$

$\frac{2}{7}$

$\frac{5}{7}$

$\frac{4}{7}$