
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
Two strips, each of width 2, overlap at an angle of $\beta$. The center point of one strip is fixed at a point on the other strip. Calculate the area of the overlap, which forms a rhombus.
A) $\frac{1}{\sin \beta}$
B) $\frac{2}{\sin \beta}$
C) $\frac{1}{2\sin \beta}$
D) $\frac{4}{\sin \beta}$

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