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

Question

Mathematics

Elle Castillo

9 June, 01:41

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

+1

Answers (2)

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Keegan Riggs · Answer 1

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

Deandre Henson · Answer 2

The answer to a power reduction to simply 8cos^4x is 2 (cos2a + 1) ^2