SSC CHSL MATHS QUIZ

Question 1:

$\frac{4 \cos 2 x}{(\sin 2 x)^{2}}$ is equal to.

$\cot ^{2} x+\tan ^{2} x$

$\cot ^{2} x-\tan ^{2} x$

$2 \cot ^{2} x-3 \tan ^{2} x$

None of these

Question 2:

In a triangle $\mathrm{ABC}, \angle \mathrm{A}=30^{\circ}, \angle \mathrm{C}=90^{\circ}$, Find the ratio of side?

$1: \sqrt{3}: 2$

$1: 2: \sqrt{3}$

$\sqrt{3}: 2: 1$

$1: \sqrt{3}: \sqrt{2}$

Question 3:

$\cos ^{2} \theta+\frac{1}{\operatorname{cosec}^{2} \theta}+17=x$. What is the value of $x^{2}$ ?

18

324

256

16

Question 4:

If $\sec ^{4} \theta-\sec ^{2} \theta=3$ then the value of $\tan ^{4} \theta+\tan ^{2} \theta$ is:

8

4

6

3

Question 5:

If $2 \tan x+3 \cot x=5$, then the value of $4 \tan ^{2} x+9 \cot ^{2} x$ is:

11

15

17

13

Question 6:

If $\tan \theta=\frac{12}{13}$, then what is the value of $\frac{2 \sin \theta \cos \theta}{\cos ^{2} \theta-\sin ^{2} \theta }$ ?

$\frac{248}{25}$

$\frac{13}{144}$

$\frac{48}{125}$

$\frac{312}{25}$

Question 7:

If $4 \sin ^2 \theta=3(1+\cos \theta), 0^{\circ}<\theta<90^{\circ}$, then what is the value of $(2 \tan \theta+4 \sin \theta-\sec \theta) ?$

$15 \sqrt{3}+3$

$4 \sqrt{15}-3$

$15 \sqrt{3}-4$

$3 \sqrt{15}-4$

Question 8:

If $3 \sec ^2 \theta+\tan \theta-7=0 \\\ and \\\ 0^{\circ}<\theta<90^{\circ}$, then what is the value of $\left(\frac{2 \sin \theta+3 \cos \theta}{\operatorname{cosec} \theta+\sec \theta}\right) ?$

10

$\frac{5}{2}$

$\frac{5}{4}$

$4 \sqrt{2}$

Question 9:

If $2 k \sin 30^{\circ} \cos 30^{\circ} \cot 60^{\circ}=\frac{\cot ^2 30^{\circ} \sec 60^{\circ} \tan 45^{\circ}}{\operatorname{cosec}^2 45^{\circ} \operatorname{cosec} 30^{\circ}}$, then find the value of $k$

$\frac{3}{2}$

3

1

6

Question 10:

If $\sin (A-B)=\frac{\sqrt{3}}{2}$ and $\sec A=2,0^{\circ} \leq A \leq 90^{\circ}, 0^{\circ} \leq B \leq 90^{\circ}$ , then what is the measure of $\mathrm{B}$ ?

$60^{\circ}$

$0^{\circ}$

$30^{\circ}$

$90^{\circ}$