SSC MTS MATHS QUIZ

Question 1:

If $\tan \mathrm{A}+\cot \mathrm{A}=4$, then $\tan ^{4} \mathrm{~A}+\cot ^{4} \mathrm{~A}$ is

equal to:-

110

191

80

194

Question 2:

If $\operatorname{Cos} \theta=\frac{4}{5}, \operatorname{Sec} \theta+\tan \theta=?$

2

1

3

4

Question 3:

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 4:

The value of $\sin ^{2} 16^{\circ}-\cos ^{2} 74^{\circ}+1$ is:

0

1

$\sqrt{2}$

2

Question 5:

The tops of two poles of heights $18 \mathrm{~m}$ and $30.5 \mathrm{~m}$ are connected by a wire. If the wire makes an angle of $30^{\circ}$ with the horizontal, what is the length (in $\mathrm{m}$ ) of the wire?

20

25

28

36

Question 6:

$\frac{\tan \theta}{1-\cot \theta}+\frac{\cot \theta}{1-\tan \theta}$ is equal to -

$1-\tan \theta-\cot \theta$

$1+\tan \theta-\cot \theta$

$1-\tan \theta+\cot \theta$

$1+\tan \theta+\cot \theta$

Question 7:

If $\cos ^{4} \theta-\sin ^{4} \theta=\frac{2}{3}$, then find the value of $2 \cos ^{2} \theta-3 \sin ^{2} \theta=?$

$\frac{5}{6}$

$\frac{6}{7}$

$\frac{7}{6}$

$\frac{8}{3}$

Question 8:

Find the value of $\tan 4^{\circ} \tan 43^{\circ} \tan 47 \tan 86^{\circ}$.

$\frac{2}{3}$

1

$\frac{1}{2}$

2

Question 9:

If $14 \sin ^{2} \theta+10 \cos ^{2} \theta=11$ where $0^{\circ}<\theta<90^{\circ}$ then what is the value of $\tan \theta+\cot \theta$ ?

$\frac{4}{\sqrt{3}}$

$\frac{2}{\sqrt{3}}$

$\sqrt{3}$

$2 \sqrt{3}$

Question 10:

If cos x = 1/3 , then what is $sinx × cotx × cosecx × tanx$ equal to ?

4

0

2

1