Question : The value of $\frac{2 \tan 60^{\circ}}{1+\tan ^2 60^{\circ}}$ is:

Option 1: $\cos 60°$

Option 2: $\tan 60°$

Option 3: $\sin 60°$

Option 4: $\sin 30°$

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 $\sin ^2 \theta-3 \sin \theta+2=0$, then find the value of $\theta\left(0^{\circ} \leq \theta \leq 90^{\circ}\right)$.

Option 1: 45°

Option 2: 0°

Option 3: 60°

Option 4: 90°

Question : The value of $\frac{\sin A}{1+\cos A}+\frac{\sin A}{1-\cos A}$ is $(0°<A<90°)$:

Option 1: $2\operatorname{cosec}A$

Option 2: $2 \sec A$

Option 3: $2 \sin A$

Option 4: $2 \cos A$

Question : What is the value of $\sin 28° \sin 35° \sin 45° \sec 62° \sec 55°$?

Option 1: $2$

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

Option 3: $\sqrt{2}$

Option 4: $\frac{1}2$