
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 the terminal side of angle $\alpha$ intersects the unit circle at point $P(\frac{4}{5}, \frac{3}{5})$.
(1) Find the values of $\sin \alpha$, $\cos \alpha$, and $\tan \alpha$;
(2) Find the value of $\frac{\sin (\pi + \alpha) + 2 \sin (\frac{\pi}{2} - \alpha)}{2 \cos (\pi - \alpha)}$.

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