Question : Evaluate the following.
$\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$.

Option 1: 40

Option 2: 4

Option 3: 0

Option 4: 1

Question : Solve the following to find its value in terms of trigonometric ratios.
$(\sin A + \cos A)(1 - \sin A \cos A)$

Option 1: $\sin^3A+\cos^3A$

Option 2: $\sin^2A-\cos^2A$

Option 3: ${[\cos A-\sin A]\left[\sin ^2 A+\cos ^2 A\right]}$

Option 4: $\sin^3A-\cos^3A$

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 : If $\left(\frac{\cos A}{1-\sin A}\right)+\left(\frac{\cos A}{1+\sin A}\right)=4$, then what will be the value of $A$? $\left(0^{\circ}<\theta<90^{\circ}\right)$

Option 1: $90^{\circ}$

Option 2: $45^{\circ}$

Option 3: $60^{\circ}$

Option 4: $30^{\circ}$

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