
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 $0 < \alpha < \frac{\pi}{2}$ and $\tan\alpha = \frac{4}{3}$,  
(1) find the value of $\frac{\sin^{2}\alpha+\sin 2\alpha}{\cos^{2}\alpha+\cos 2\alpha}$;  
(2) find the value of $\sin\left(\frac{2\pi}{3} - \alpha\right)$.

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