
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 that point $P(-4,3)$ lies on the terminal side of angle $α$, find the value of $$\frac{\cos \left( \frac{π}{2}+α\right)\sin \left(-π-α\right)}{\cos \left( \frac{11π}{2}-α\right)\sin \left( \frac{9π}{2}-+α\right)}.$$

(2) If $\sin x=\frac{m-3}{m+5}$, $\cos x=\frac{4-2m}{m+5}$, and $x\in(\frac{π}{2} ,π)$, find $\tan x$.

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