Evaluate:
$\frac{\sin 18^{\circ}}{\cos 72^{\circ}}$
$0$
$-1$
$1$
$10$
Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
$(\operatorname{cosec} A-\sin A)(\sec A-\cos A)=\frac{1}{\tan A+\cot A}$
In $\triangle ABC ,$ right-angled at $B , AB =24 \,cm , BC =7 \,cm .$ Determine:
$(i)$ $\sin A, \cos A$
$(ii)$ $\sin C, \cos C$
Evaluate:
$\operatorname{cosec} 31^{\circ}-\sec 59^{\circ}$
Evaluate:
$\frac{\tan 26^{\circ}}{\cot 64^{\circ}}$
Given $\tan A=\frac{4}{3},$ find the other trigonometric ratios of the $\angle A$