$\frac{1+\tan ^{2} A}{1+\cot ^{2} A}=........$
$\sec ^{2} A$
$-1$
$\cot ^{2} A$
$\tan ^{2} A$
Given $\tan A=\frac{4}{3},$ find the other trigonometric ratios of the $\angle A$
If $\sin A =\frac{3}{4},$ calculate $\cos A$ and $\tan A$.
In $\triangle$ $ABC,$ right-angled at $B$, $AB =5\, cm$ and $\angle ACB =30^{\circ}$ (see $Fig.$). Determine the lengths of the sides $BC$ and $AC .$
Evaluate the following:
$\sin 60^{\circ} \cos 30^{\circ}+\sin 30^{\circ} \cos 60^{\circ}$
Evaluate:
$\cos 48^{\circ}-\sin 42^{\circ}$