
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 $$\frac {2\cos\left( \frac {3}{2}\pi+\theta\right)+\cos\left(\pi+\theta\right)}{3\sin\left(\pi -\theta\right )+2\sin\left(\frac {5}{2}\pi +\theta\right)}= \frac {1}{5}$$;
(1) Find the value of $\tan\theta$;
(2) Find the value of $\sin^2\theta+3\sin\theta\cos\theta$.

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