Consider the following statements :

1. There exists θ ∈ (−π/2, π/2) for which tan⁻¹(tan θ) ≠ θ.

2. sin⁻¹(1/3) − sin⁻¹(1/5) = sin⁻¹ ( 2√2(√3 − 1) / 15 )

Which of the above statements is/are correct?

Mathematics 2016 NDA Mathematics 2016 NDA 2016

Options