Question:
Express $\cos 75^{\circ}+\cot 75^{\circ}$ in terms of angles between $0^{\circ}$ and $30^{\circ} .$
Solution:
Given that: $\cos 75^{\circ}+\cot 75^{\circ}$
$=\cos 75^{\circ}+\cot 75^{\circ}$
$=\cos \left(90^{\circ}-15^{\circ}\right)+\cot \left(90^{\circ}-15^{\circ}\right)$
$=\sin 15^{\circ}+\tan 15^{\circ}$
Hence the correct answer is $\sin 15^{\circ}+\tan 15^{\circ}$