Evaluate $\frac{\tan 65^{\circ}}{\cot 25^{\circ}}$

Write 'True' or 'False' and justify your answer.
$\tan \theta$ increases faster than $\sin \theta$ as $\theta$ increases for $0^\circ < \theta < 90^\circ$.

Given $15 \cot A = 8$,find $\sin A$ and $\sec A$.

In $\Delta ABC$,$m \angle B = 90^{\circ}$,$BC = 3$ and $AC = 5$,then $\tan A = \ldots$

Which of the following pairs is correct for trigonometric inter-relationships?

$1. \cos \theta$	$a. \frac{\cos \theta}{\sin \theta}$
$2. \tan \theta$	$b. \frac{1}{\csc \theta}$
$3. \cot \theta$	$c. \frac{1}{\sec \theta}$
$4. \sin \theta$	$d. \frac{1}{\cot \theta}$
	$e. \sin \theta \cdot \cos \theta$

Given $\tan A = \frac{4}{3},$ find the other trigonometric ratios of the $\angle A$.