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Ex 3.3, 24 - Prove cos 4x = 1 - 8 sin2 x cos 2 x - Chapter 3
Ex 3.3, 24Prove that cos 4𝑥 = 1 – 8sin2 𝑥 cos2 𝑥Solving L.H.S. cos 4x = 2(cos 2x)2 – 1 = 2 ( 2 cos2 x – 1)2 -1 We know that cos 2x = 2 cos2 x – 1Replacing by 2x cos 2(2x) = 2 cos2 (2x) − 1 cos 4x = 2 cos2 2x − 1Using (a – b)2 = a2 b2 – 2
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