NCERT Example 3 - Inverse Trigonometric Functions

Question: Show that (i) sin⁻¹(2x√(1 − x²)) = 2 sin⁻¹ x for |x| ≤ 1/√2; (ii) sin⁻¹(2x√(1 − x²)) = 2 cos⁻¹ x for 1/√2 ≤ x ≤ 1.

Answer: Proved for the stated ranges.

Full step-by-step NCERT solution with diagrams on Something by Zero.

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