Question: Find the value of \\( \\sin(\\sin^{-1}(\\frac{1}{2})) \\).

Options:

1. 0
2. \\( \\frac{1}{2} \\)
3. 1
4. undefined

Correct Answer: \\( \\frac{1}{2} \\)

Solution:

By definition, \\( \\sin(\\sin^{-1}(x)) = x \\). Therefore, \\( \\sin(\\sin^{-1}(\\frac{1}{2})) = \\frac{1}{2} \\).