
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
Given that $\dfrac{\pi }{2} < \alpha < \pi ,\sin \alpha =\dfrac{3}{5},$

(1) Find the value of $\dfrac{{\sin }^{2}\alpha +\sin 2\alpha }{{\cos }^{2}\alpha +\cos 2\alpha }$.

(2) Find the value of $\tan \left(\alpha - \dfrac{5\pi }{4}\right)$.

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