
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
If $$2\cos2α=\sin(\frac{π}{4}-α)$$, where α is in the interval ($$\frac{π}{2}$$, π), find the value of $\sin2α$.

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