
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 vectors $\overset{→}{a}$ and $\overset{→}{b}$ that satisfy $\left(2 \overset{→}{a}- \overset{→}{b}\right)·\left( \overset{→}{a}+ \overset{→}{b}\right)=6$ and have magnitudes $|\overset{→}{a}|=2$ and $|\overset{→}{b}|=1$, determine the angle between $\overset{→}{a}$ and $\overset{→}{b}$.

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