Question : The value of $\cos^2 32^{\circ}-\sin^2 58^{\circ}$ is:

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

Option 2: $-1$

Option 3: $1$

Option 4: $0$

Question : What is the value of $\frac{3 \sin 58^{\circ}}{\cos 32^{\circ}}+\frac{3 \sin 42^{\circ}}{\cos 48^{\circ}}$?

Option 1: 6

Option 2: 9

Option 3: 7

Option 4: 8

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 : Find the value of $\frac{\cos^2 15^{\circ}-\sin^2 15^{\circ}}{\cos^2 145^{\circ}+\sin^2 145^{\circ}}$.

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

Option 2: $\frac{1}{1-\sqrt{3}}$

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

Option 4: $\frac{2}{\sqrt{3}}$

Question : What is the value of $\frac{\cos 37^{\circ}}{\sin 53^{\circ}}?$

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

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

Option 3: $0$

Option 4: $1$

Question : Evaluate the expression: $\frac{\sin ^2 63^{\circ}+\sin ^2 27^{\circ}}{\cos ^2 17^{\circ}+\cos ^2 73^{\circ}}$

Option 1: 0

Option 2: 3

Option 3: 1

Option 4: 2