cos 4x ന്റെ മൂല്യം ഇതായിരിക്കും 

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ALP CBT 2 Physics and Maths Previous Paper 2 (Held On: 21 Jan 2019 Shift 2)
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  1. 1 - 3sin2x cos2x
  2. 1 - 8sin2x cos2x
  3. 1 - 5sin2x cos2x
  4. 1 - 4sin2x cos2x

Answer (Detailed Solution Below)

Option 2 : 1 - 8sin2x cos2x
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Detailed Solution

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കണക്കുകൂട്ടൽ:

Cos 4x = cos 2(2x)

⇒ Cos 2x = 2 cos2x - 1

⇒ Cos 2(2x) = 2 cos2 (2x) - 1

⇒ 2[1 - sin2 (2x)] - 1

⇒ 2[1 - (2sin x cos x)2] - 1 (∵ sin2x = 2sin x cos x)

⇒ 2[1 - 4 sin2x cos2x] - 1

⇒ 2 - 8 sin2x cos2x - 1

⇒ 1 - 8sin2x cos2x
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