# Express cos 75° + cot 75° in terms of angles between 0° and 30°.

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 $\sin 15^{\circ}+\tan 15^{\circ}$