Evaluate:
$\frac{\sin 18^{\circ}}{\cos 72^{\circ}}$
$0$
$-1$
$1$
$10$
Write all the other trigonometric ratios of $\angle A$ in terms of $\sec$ $A$.
Evaluate $\frac{\tan 65^{\circ}}{\cot 25^{\circ}}$
$(1+\tan \theta+\sec \theta)(1+\cot \theta-\operatorname{cosec} \theta)=..........$
State whether the following are true or false. Justify your answer.
$\sin (A+B)=\sin A+\sin B$
Given $15 \cot A =8,$ find $\sin A$ and $\sec A .$