
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
Find a monotonically increasing interval for the function $y=2\sin \left( \frac{\pi}{4}-x\right)$.

A) $\left[- \frac{\pi}{4}, \frac{\pi}{2}\right]$
B) $\left[- \frac{\pi}{4}, \frac{3\pi}{4}\right]$
C) $\left[- \frac{3\pi}{4}, \frac{\pi}{4}\right]$
D) $\left[- \frac{5\pi}{4},- \frac{\pi}{4}\right]$

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