SSC CGL MATHS QUIZ

Question 1:

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

8

4

6

3

Question 2:

$\sin ^{2} 60^{\circ}+\cos ^{2} 30^{\circ}+\cot ^{2} 45^{\circ}+\sec ^{2} 60^{\circ}=?$

$\frac{13}{2}$

$\frac{7}{2}$

$\frac{15}{2}$

$\frac{5}{2}$

Question 3:

If $\sec \theta+\tan \theta=12.5$, then $\sec \theta-\tan \theta=$ ?

$0.8$

$0.08$

1

$0.4$

Question 4:

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

$60^0$

$0^0$

$30^{\circ}$

$90^{\circ}$

Question 5:

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 6:

If $\cot B=\frac{12}{5}$, what is the value of $\sec B$ ?

$\frac{5}{12}$

$\frac{13}{12}$

$\frac{13}{5}$

$\frac{12}{13}$

Question 7:

$\tan ^2 A+5 \sec A=13$, where $0^{\circ}< A<90^{\circ}$. Solve for $\mathrm{A}$ (in degrees).

0

60

30

45

Question 8:

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

$0^{\circ}$

$60^{\circ}$

$30^{\circ}$

$90^{\circ}$,

Question 9:

What is the value of:

$8 \sqrt{3} \sin 30^{\circ} \tan 60^{\circ}-3 \cos 0^{\circ}+3 \sin ^{2} 45^{\circ}+2 \cos ^{2} 30 ?$

12

15

18

9

Question 10:

Simplify the following expression: $\operatorname{cosec}^4 A\left(1-\cos ^4 A\right)-2 \cot ^2 A-1$

$\sin ^2 A$

$\operatorname{cosec}^2 A$

1

0