Misc 10 - Chapter 2 Class 12 Inverse Trigonometry - tan-1 √(1 x)
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Misc 10 - Chapter 2 Class 12 Inverse Trigonometry - tan-1 √(1 x)
Misc 10Prove tan−1 ((√(1 x) − √(1 − x))/(√(1 x) √(1 − x))) = π/4 − 1/2 cos-1 x, −1/√2 ≤ x ≤ 1 [Hint: Put x = cos 2θ]Solving L.H.S. tan−1 ((√(1 x) − √(1 − x))/(√(1 x) √(1 − x)))Putting x = cos 2𝜽 = tan−1 ((√(1 cos 2θ) − √(1 − cos 2θ))/(√(1 cos 2θ) √(1 − c
Dec 16, 2024
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