
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
If
\[\tan x = \frac{3cd}{c^2 - d^2},\]
where $c > d > 0$ and $0^\circ < x < 90^\circ,$ then find $\cos x$ in terms of $c$ and $d.$

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