Consider the following statements :

1. tan⁻¹ x + tan⁻¹(1/x) = π

2. There exist x, y ∈ [−1, 1], where x ≠ y such that sin⁻¹ x + cos⁻¹ y = π/2.

Which of the above statements is/are correct?

Mathematics 2016 NDA Mathematics 2016 NDA 2016

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