If $\sin ^{2} 35^{\circ} + \cos ^{2} \theta = 1$,then $\theta = \ldots \ldots \ldots \ldots$ (in $^{\circ}$)

Show that $\tan ^{4} \theta+\tan ^{2} \theta=\sec ^{4} \theta-\sec ^{2} \theta$

$\sin (90^\circ - \theta) = \ldots \ldots \ldots$

The value of $\tan 5^{\circ} \cdot \tan 25^{\circ} \cdot \tan 45^{\circ} \cdot \tan 65^{\circ} \cdot \tan 85^{\circ}$ is $\ldots \ldots \ldots \ldots .$.

If $3 \theta$ is the measure of an acute angle and $\sin 3 \theta = \cos (\theta - 26^{\circ})$,then the value of $\theta$ is $\ldots \ldots \ldots \ldots$ (in $^{\circ}$)

If $\sin \theta - \cos \theta = 0$,then the value of $(\sin^4 \theta + \cos^4 \theta)$ is