
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
$$
\frac{\cos \left(30^{\circ}-n^{\circ}\right)}{\cos n^{\circ}} =\frac{\cos 30^{\circ} \cos n^{\circ}+\sin 30^{\circ} \sin n^{\circ}}{\cos n^{\circ}}=\cos 30^{\circ}+\sin 30^{\circ} \tan n^{\circ} = \frac{1}{2}\left(\sqrt{3}+\tan n^{\circ}\right).
$$

Present the answer in LaTex format: \boxed{Your answer}
user