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teachoo.com
Ex 3.3, 25 - Prove cos 6x = 32 cos6 x - 48 cos4 x 18 cos2x
Ex 3.3, 25Prove that: cos 6𝑥 = 32 cos6 𝑥 – 48 cos4 𝑥 18 cos2 𝑥 – 1Solving L.H.S. cos 6x = 2(cos 3x)2 – 1 = 2 ( 4 cos3 x – 3 cos x)2 – 1 We know that cos 2x = 2 cos2 x – 1Replacing by 3x cos 2(3x) = 2 cos2 (3x) -1 cos 6x = 2 cos2 3x -1Using (a – b)2 = a
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