SSS CGL QUANT QUIZ

Question 1:

The value of $\frac{1}{\left(1+\tan ^{2} \theta\right)}+\frac{1}{\left(1+\cot ^{2} \theta\right)}$ is:

$\frac{1}{4}$

1

2

$\frac{1}{2}$

Question 2:

If $\sin \theta+\cos \theta=1$, then $\sin \theta-\cos \theta$ is equal to :

0

1

2

-1

Question 3:

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

1

6

13

12

Question 4:

The least value of $2 \sin ^{2} \theta+3 \cos ^{2} \theta$ is:

3

5

1

2

Question 5:

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

$\frac{7}{5}$

$\frac{2}{7}$

$\frac{5}{7}$

$\frac{4}{7}$

Question 6:

If $5 \cos \theta+12 \sin \theta=13$, then $\tan \theta=$

$\frac{13}{12}$

$\frac{12}{13}$

$\frac{12}{5}$

$\frac{5}{12}$

Question 7:

Sinθ=$\alpha$ than $\alpha$ is equals to

$\sqrt{1+\cos ^{2} \theta}$

$\sqrt{1-\sin ^{2} \theta}$

$\sqrt{1-\cos ^{2} \theta}$

$\sqrt{1+\sin ^{2} \theta}$

Question 8:

If $\sin ^{2} \emptyset+\operatorname{tan} \emptyset=\frac{3}{2}$, then find $\operatorname{cosec}^{2} \emptyset+\sec ^{2} \emptyset=?$

$\frac{5}{2}$

4

$\frac{16}{3}$

8

Question 9:

The value of $\sec ^{2} 12^{\circ}-\frac{1}{\tan ^{2} 78^{\circ}}$ is

0

1

2

3

Question 10:

If $\sin \theta+\cos \theta=1$, then the value of $\sin \theta \cdot \cos \theta$ is:

0