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Express u = sin^(6)x + cos^(6)x in the f...

Express `u = sin^(6)x + cos^(6)x` in the form A + B cos 4x, where A and B are constants. Find A and B. Hence, obtain the maximum and minimum values of u.

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The correct Answer is:
`[5/8 + 3/8.(-1)]=1/4`
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