SSC CGL MATHS QUIZ

Question 1:

If $\frac{ \sin \theta}{1+\cos \theta+\sin \theta}=x$ then value of $\frac{1-\cos \theta+\sin \theta}{1+\sin \theta}$ is equal to:

$2 x$

$x^{2}$

$2 x^{2}$

$\frac{1}{x}$

Question 2:

What is the simplified value of $\operatorname{cosec} 2 A+\cot 2 A$ ?

$\sec A $

$\sec\frac{\mathrm{A}}{2}$

$\cot A $

$\cot ^{2} A$

Question 3:

The value of $\frac{\sin 43^{\circ}}{\cos 47^{\circ}}+\frac{\cos 19^{\circ}}{\sin 71^{\circ}}-8 \cos ^{2} 60^{\circ}$ is.

0

1

2

–1

Question 4:

$\frac{(1+\tan \theta+\sec \theta)(1+\cot \theta-\operatorname{cosec} \theta)}{(\sec \theta+\tan \theta)(1-\sin \theta)}$

$2 \sec \theta$

$ \sec \theta$

$2 \operatorname{cosec} \theta$

$\operatorname{cosec} \theta$

Question 5:

Find the value

$\left(1-2 \sin ^{2} \theta\right)\left(\frac{1+\tan \theta}{1-\tan \theta}+\frac{1-\tan \theta}{1+\tan \theta}\right) \text { where, } 0 \leq \theta \leq 90$

1

0

2

6

Question 6:

$6\left(\sin ^{6} x+\cos ^{6} x\right)-9\left(\sin ^{4} x+\cos ^{4} x\right) \text { is }$ equal to

1.0

$-3$

2.0

3.0

Question 7:

If $\tan ^2 A+2 \tan A-35=0$, Given that $0 < A < \frac{\pi}{2}$ what is the value of $(2 \cos A+5 \sin A)$ ?

$19 \sqrt{26}$

$15 \sqrt{26}$

$\frac{19}{\sqrt{26}}$

$\frac{27}{\sqrt{26}}$

Question 8:

Find the value of $\left[\frac{1}{1-\operatorname{Cos}^{2} x}+\frac{1}{\operatorname{Cosec}^{2} x-1}-\frac{1}{1-\sin ^{2} x}\right] \times \operatorname{Sin}^{2} x$

$\operatorname{Sin}^{2} \mathrm{x}$

$\operatorname{Cos}^{2} \mathrm{x}$

$\operatorname{Cos} \mathrm{x}$

$\operatorname{Cos} x \operatorname{Sin} x$

Question 9:

If $\tan \theta+\cot \theta=2$, then the value of $\tan ^{100} \theta^{+}$ $\cot ^{100} \theta$ is:

2

0

1

$\sqrt{3}$

Question 10:

If $\cos \theta=\frac{5}{13}, \tan \alpha=\frac{5}{12}$ then $\cos (\theta+\alpha) ?$

0

1

2

$-1$