
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 a point P(-4, 3) on the terminal side of angle $\alpha$, find the value of $$\frac {\cos( \frac {\pi}{2}+\alpha)\sin(-\pi-\alpha)}{\cos( \frac {11\pi}{2}-\alpha)\sin( \frac {9\pi}{2}+\alpha)}.$$  
(2) Given $\sin\alpha+\cos\alpha= \frac {1}{5}$, where $0\leq\alpha\leq\pi$, find $\cos(2\alpha- \frac {\pi}{4})$.

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