Question : What will be the value of $\frac{\sin 30^{\circ} \sin 40^{\circ} \sin 50^{\circ} \sin 60^{\circ}}{\cos 30^{\circ} \cos 40^{\circ} \cos 50^{\circ} \cos 60^{\circ}}$?

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

Option 2: $\sqrt{3}$

Option 3: $1$

Option 4: $\frac{1}{\sqrt{3}}$

Question : What is the value of $\sin 30^{\circ}+\cos 30^{\circ}+\tan 30^{\circ}$?

Option 1: $\frac{5+\sqrt{3}}{2 \sqrt{3}}$

Option 2: $\frac{5-\sqrt{3}}{2 \sqrt{3}}$

Option 3: $\frac{5+\sqrt{3}}{\sqrt{3}}$

Option 4: $\frac{5-\sqrt{3}}{\sqrt{3}}$

Question : The value of $\left(\sin 30^{\circ} \cos 60^{\circ}-\cos 30^{\circ} \sin 60^{\circ}\right)$ is equal to:

Option 1: $-\cos 30^{\circ}$

Option 2: $-\sin 30^{\circ}$

Option 3: $\cos 30^{\circ}$

Option 4: $\sin 30^{\circ}$

Question : The value of $\frac{5 \cos ^2 60^{\circ}+4 \sec ^2 30^{\circ}-\tan ^2 45^{\circ}}{\tan ^2 60^{\circ}-\sin ^2 30^{\circ}-\cos ^2 45^{\circ}}$ is:

Option 1: $\frac{67}{27}$

Option 2: $\frac{22}{9}$

Option 3: $\frac{67}{24}$

Option 4: $\frac{19}{9}$

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: $\sin 30°$