-Prove that-cos 4x - 1 ndash- 8sin2 x cos2 x-

L.H.S. = cos 4x = cos 2(2x) = 1 ndash; 2 sin2 2x [cos 2A = 1 ndash; 2 sin2 A] = 1 ndash; 2(2 sin x cos x)2 [sin2A = 2sin A cosA ...

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Implicit Differentiation

Prove that c...

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Prove that cos 4x = 1 – 8sin²x cos²x

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y = \int_{1 / 8}^{{sin}^{2} x} {sin}^{- 1} \sqrt{t} d t + \int_{1 / 8}^{{cos}^{2} x} {cos}^{- 1} \sqrt{t} d t

0 \leq x \leq x / 2

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cos 4 x = 1 - 8 {sin}^{2} x {cos}^{2} x

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{cos}^{2} x + {cos}^{4} x = 1

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