Evaluate:
$\sin 25^{\circ} \cos 65^{\circ}+\cos 25^{\circ} \sin 65^{\circ}$
$2$
$-1$
$0$
$1$
Prove the following identities, where the angles involved are acute angles for which the expressions are defined.
$\frac{\tan \theta}{1-\cot \theta}+\frac{\cot \theta}{1-\tan \theta}=1+\sec \theta \operatorname{cosec} \theta$
State whether the following are true or false. Justify your answer.
$\sin (A+B)=\sin A+\sin B$
Evaluate:
$\cos 48^{\circ}-\sin 42^{\circ}$
State whether the following are true or false. Justify your answer.
The value of $\sin \theta$ increases as $\theta$ increases.
Express $\cot 85^{\circ}+\cos 75^{\circ}$ in terms of trigonometric ratios of angles between $0^{\circ}$ and $45^{\circ}$