
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
Simplify the following expressions:
(1) $$\frac {-\sin(180° +\alpha)+\sin(-\alpha)-\tan(360° +\alpha)}{\tan(\alpha+180° )+\cos(-\alpha)+\cos(180° -\alpha)}$$
(2) $$\frac {\sin(\alpha+n\pi)+\sin(\alpha-n\pi)}{\sin(\alpha+n\pi)\cos(\alpha-n\pi)} \quad (n\in \mathbb{Z})$$.

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