
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 $\tan\alpha=2$ and $\pi<\alpha<\frac{3\pi}{2}$, find:

1. The value of $\sin^2\alpha - 2\cos^2\alpha$.
2. The value of $\sin\alpha - \cos\alpha$.

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