Consider the following statements:1. \({\tan ^{ - 1}}{\rm{x}} + {\tan ^{ - 1}}\left( {\frac{1}{{\rm{x}}}} \right) = {\rm{\pi }}\)2. There exist x, y ∈ [-1, 1], where x ≠ y such that sin-1 x + cos-1 \({\rm{y}} = \frac{{\rm{\pi }}}{2}\)Which of the above statements is/are correct?

• A. 1 only
• B. 2 only
• C. Both 1 and 2
• D. Neither 1 nor 2