NCERT Miscellaneous Exercise Q10 - Inverse Trigonometric Functions
Question: Prove that tan⁻¹((√(1 + x) − √(1 − x))/(√(1 + x) + √(1 − x))) = π/4 − (1/2) cos⁻¹ x for −1/√2 ≤ x ≤ 1.
Answer: Proved.
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