The expression \( R \cdot (\arcsin(x_2 / R) - \arcsin(x_1 / R)) \) cannot be simplified further in a general sense because it involves two arcsine functions with distinct arguments. However, this expression represents a difference of two angles derived from the arcsine function, scaled by \( R \).

One approach to manipulating this expression is to look for a trigonometric identity that relates the difference of arcsines. Unfortunately, there is no standard simplification for the difference of two arcsines unless special conditions on \( x_1 \) and \( x_2 \) exist. 

So, the simplified form of the expression remains:
\[
R \cdot (\arcsin(x_2 / R) - \arcsin(x_1 / R))
\]

Would you like me to explore specific values for \( x_1 \), \( x_2 \), or other approaches?

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Here are some related questions to think about:
1. What happens if \( x_1 = x_2 \)?
2. Can this expression be geometrically interpreted?
3. How would this expression change if \( x_1 \) and \( x_2 \) are expressed as functions of time?
4. What is the domain of the arcsine function in this expression?
5. How would this expression behave for large values of \( R \)?

**Tip:** Always check if the values inside the trigonometric functions fall within their valid domains to avoid undefined results.

Explore the simplification of the expression R*(asin(x2/R) - asin(x1/R)). Understand the difference of two arcsine functions scaled by R and their manipulation in trigonometry. Suitable for advanced high school students and beyond.

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