
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
How many solutions has \(\sin 2 \theta - \cos 2 \theta = \frac{\sqrt{6}}{2}\) in \(\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)\)?
(a) 1  
(b) 2  
(c) 3  
(d) 4

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