
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
(1) Given $\tan\alpha=3$, calculate the value of $$\frac {4\sin\alpha-2\cos\alpha}{5\cos\alpha +3\sin\alpha }.$$  
(2) Given $\tan\theta=- \frac {3}{4}$, find the value of $2+\sin\theta\cos\theta-\cos^2\theta$.

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