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?
1 only
2 only
Both 1 and 2
Neither 1 nor 2
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