
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 $\tan(\pi+\alpha)=-\frac{4}{3}$, where $\alpha$ is an angle in the fourth quadrant, find $\sin\alpha$ and $\cos\alpha$;

(2) Calculate $\sin\frac{25\pi}{6}+\cos\frac{26\pi}{3}+\tan(-\frac{25\pi}{4})$.

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