
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 \( \theta \) is an acute angle, \( \sin 2\theta = a \), and \( \cos 2\theta = b \), find the value of \( \sin\theta + \cos\theta \).
A) \( \sqrt{1 - a} \)
B) \( \sqrt{1 + a} \)
C) \( \sqrt{1 - b} \)
D) \( \sqrt{1 + b} \)
E) \( \sqrt{a + b} \)

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