
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 $\tan \alpha=3$, compute 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