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9 June, 01:41

Use a power reduction identity to simplify 8cos^4x

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Answers (2)
  1. 9 June, 02:25
    0
    8cos^4 A = 2 (cos2A + 1) ^2.

    Step-by-step explanation:

    cos 2A = 2cos^2 A - 1

    2cos^2 A = cos 2A + 1

    cos^2 A = 1/2 (cos2A + 1)

    cos^4 A = 1/4 (cos 2A + 1) ^2

    8cos^4 A = 2 (cos2A + 1) ^2
  2. 9 June, 05:18
    0
    The answer to a power reduction to simply 8cos^4x is 2 (cos2a + 1) ^2
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