Question : Find the value of: $\sqrt{\frac{1 - \sin 3 \theta}{1 + \sin 3 \theta}}$

Option 1: $\sec 3 \theta - \tan 3 \theta$

Option 2: $(\sec 3 \theta - \tan 3 \theta)^3$

Option 3: $(\sec 3 \theta - \tan 3 \theta)^2$

Option 4: $\sec 3 \theta + \tan 3 \theta$

Question : What will be the value of $\cos x \operatorname{cosec} x - \sin x \sec x$?

Option 1: $\cot \frac{2x}{2}$

Option 2: $\tan 2 x $

Option 3: $\cot 2 x $

Option 4: $ 2 \cot 2x$

Question : If $\tan x = \frac{7}{5}$, the value of $\frac{9 \sin  x – \frac{42}{5} \cos x}{15 \sin x + 21 \cos x}$ is:

Option 1: 0

Option 2: 1

Option 3: 0.1

Option 4: 0.5

Question : If $0°<A<90°$, the value of $\frac{\tan A\ -\ \sec A\ -\ 1}{\tan A\ +\ \sec A\ +\ 1}$ is:

Option 1: $\frac{\sin A-1}{\cos A}$

Option 2: $\frac{1-\sin A}{\cos A}$

Option 3: $\frac{1-\cos A}{\sin A}$

Option 4: $\frac{\sin A+1}{\cos A}$

Question : If $\cos x+\sin x=\sqrt{2} \cos x$, what is the value of $(\cos x-\sin x)^2+(\cos x+\sin x)^2$?

Option 1: $2$

Option 2: $1$

Option 3: $0$

Option 4: $\frac{1}{\sqrt{2}}$