
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 values of $\theta$ in the interval $0 < \theta \le 2\pi$ satisfy \[2 + 4\sin\theta - 6\cos2\theta = 0?\]
- **A)** 2
- **B)** 4
- **C)** 6
- **D)** 8
- **E)** 10

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