Question: If \\( y = \\sin^{-1}(x) + \\cos^{-1}(x) \\), what is the value of \\( y \\)?

Options:

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

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

Solution:

Since \\( \\sin^{-1}(x) + \\cos^{-1}(x) = \\frac{\\pi}{2} \\) for all \\( x \\) in the domain of \\( \\sin^{-1} \\) and \\( \\cos^{-1} \\), the answer is \\( \\frac{\\pi}{2} \\).