If $\sin 5 \theta = \cos 5 \theta$,then the value of $\theta$ is ..........

If $\operatorname{cosec} \theta = \sqrt{2}$,then the value of $\tan \theta$ is:

$A$ $4 \, m$ long ladder leans on a wall such that its lower end remains $2 \, m$ away from the base of the wall. Then,the ladder makes an angle of measure $\ldots \ldots$ with the ground. (in $^\circ$)

Evaluate the following:
$\sin 60^{\circ} \cos 30^{\circ} + \sin 30^{\circ} \cos 60^{\circ}$

In $\Delta ABC$,$m\angle B = 90^\circ$,$m\angle C = 30^\circ$ and $AC = 30 \text{ cm}$,then $AB = \ldots \text{ cm}$.

$\sin 2A = 2 \sin A$ is true when $A =$ (in $^{\circ}$)