
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 $α$, find the value of $\frac{\cos(\frac{π}{2} + α)\sin(-π - α)}{\cos(\frac{11π}{2} - α)\sin(\frac{9π}{2} + α)}$.
(2) Given $\sin α + \cos α = \frac{1}{5}$, where $0 ≤ α ≤ π$, find $\cos(2α - \frac{π}{4})$.

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