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Trigonometric Ratios of Compound Angles

cos 4 x=1-8 s...

Question

cos 4x = 1 – 8sin²x cos²x

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Solution

L.H.S. = cos 4x

= cos 2(2x)

= 1 – 2 sin² 2x

= 1 – 2(2 sin x cos x)²

= 1 – 8 sin²x cos²x

= R.H.S.

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