
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
Let $\triangle ABC$ have internal angles $A, B, C$ at vertices $A, B, C$ and opposite sides of lengths $a, b, c$ respectively. If $b\cos C + c\cos B = a\sin A$, determine the type of $\triangle ABC$.

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