
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
Determine how many values of \(\theta\) in the interval \(0 < \theta \leq 2\pi\) satisfy the equation 
\[
2 + 4\cos\theta - 6\sin2\theta + 3\tan\theta = 0.
\]
A) 2
B) 4
C) 6
D) 8
E) None of the above

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