Evaluate:
$\operatorname{cosec} 31^{\circ}-\sec 59^{\circ}$
$1$
$0$
$-1$
$0.5$
$\frac{2 \tan 30^{\circ}}{1-\tan ^{2} 30^{\circ}}=$
Given $\tan A=\frac{4}{3},$ find the other trigonometric ratios of the $\angle A$
Evaluate:
$\frac{\sin 18^{\circ}}{\cos 72^{\circ}}$
Consider $\triangle ACB$, right-angled at $C$, in which $AB =29$ units, $BC =21$ units and $\angle ABC =\theta$ (see $Fig.$). Determine the values of
$(i)$ $\cos ^{2} \theta+\sin ^{2} \theta$
$(ii)$ $\cos ^{2} \theta-\sin ^{2} \theta$
$9 \sec ^{2} A-9 \tan ^{2} A=..........$