
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
(Ⅰ) Given the equation $\sin (\alpha-3\pi)=2\cos (\alpha-3\pi)$, find the value of $\dfrac{\sin (\pi -\alpha )+5\cos (2\pi -\alpha )}{2\sin (\dfrac{3\pi }{2}-\alpha )-\sin (-\alpha )}$.

(Ⅱ) In $\triangle ABC$, if $\sin A+\cos A=\dfrac{\sqrt{2}}{2}$, find the value of $\tan A$.

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