
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 $\sin (\pi-\alpha)-2\sin ( \frac {\pi}{2}+\alpha)=0$.
(1) Find the value of $\sin \alpha\cos \alpha+\sin ^{2}\alpha$.
(2) If $\tan (\alpha+\beta)=-1$, find the value of $\tan \beta$.

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