Evaluate the expression: \[ \frac{1 - \sin^2 30^\circ}{1 + \sin^2 45^\circ} \times \frac{\cos^2 60^\circ + \cos^2 30^\circ}{\csc^2 90^\circ - \cot^2 90^\circ} \div (\sin 60^\circ \tan 30^\circ) \]

Q.Evaluate the expression: \[ \frac{1 - \sin^2 30^\circ}{1 + \sin^2 45^\circ} \times \frac{\cos^2 60^\circ + \cos^2 30^\circ}{\csc^2 90^\circ - \cot^2 90^\circ} \div (\sin 60^\circ \tan 30^\circ) \]

\[ \frac{1 - \sin^2 30^\circ}{1 + \sin^2 45^\circ} \times \frac{\cos^2 60^\circ + \cos^2 30^\circ}{\csc^2 90^\circ - \cot^2 90^\circ} \div (\sin 60^\circ \tan 30^\circ) \] \[ = \frac{1 - \left(\frac{1}{2}\right)^2}{1 + \left(\frac{1}{\sqrt{2}}\right)^2} \times \frac{\left(\frac{1}{2}\right)^2 + \left(\frac{\sqrt{3}}{2}\right)^2}{(1)^2 - (0)^2} \div \left(\frac{\sqrt{3}}{2} \times \frac{1}{\sqrt{3}}\right) \] \[ = \frac{1 - \frac{1}{4}}{1 + \frac{1}{2}} \times \frac{\frac{1}{4} + \frac{3}{4}}{1 - 0} \div \frac{1}{2} \] \[ = \frac{\frac{3}{4}}{\frac{3}{2}} \times \frac{1}{1} \times \frac{2}{1} \] \[ = \frac{3}{4} \times \frac{2}{3} \times 2 \] \[ = 1 \quad \text{(Answer)} \]