
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 $\tan\alpha=2$, find the value of the following expressions:  
(1) $$\frac {\sin\alpha-4\cos\alpha}{5\sin\alpha+2\cos\alpha}$$;       
(2) $4\sin^2\alpha-3\sin\alpha\cos\alpha-5\cos^2\alpha$.

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