
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 $$\frac {1}{|\sin\alpha|} = -\frac {1}{\sin\alpha}$$, and $\lg(\cos\alpha)$ is meaningful.  
(1) Determine the quadrant in which angle $\alpha$ is located;  
(2) If a point on the terminal side of angle $\alpha$ is $M\left(\frac {3}{5}, m\right)$, and $|OM|=1$ (where $O$ is the origin), find the value of $m$ and the value of $\sin\alpha$.

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