
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 $\sin\alpha= \frac {2}{3}$, $\cos\beta= -\frac {3}{4}$, with $\alpha\in\left(\frac {\pi}{2}, \pi\right)$ and $\beta\in\left(\pi, \frac {3\pi}{2}\right)$, find the value of $\cos(\alpha-\beta)$.

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