
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
Given:  
① $\tan 10^\circ \cdot \tan 20^\circ + \tan 20^\circ \cdot \tan 60^\circ + \tan 60^\circ \cdot \tan 10^\circ = 1$,  
② $\tan 5^\circ \cdot \tan 10^\circ + \tan 10^\circ \cdot \tan 75^\circ + \tan 75^\circ \cdot \tan 5^\circ = 1$,  
then $\tan 8^\circ \cdot \quad + \quad \cdot \tan 70^\circ + \tan 70^\circ \cdot \tan 8^\circ = 1$ (No points are awarded for answering only one blank).

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