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If f(x)=sin^(6) x + cos^(6) x for x in...

If `f(x)=sin^(6) x + cos^(6) x ` for ` x in R `, then f(x) lies in the interval

A

`[(7)/(8) ,(5)/(4)]`

B

`[(1)/(2),(5)/(8)]`

C

`[(1)/(4),1]`

D

`[(1)/(4),(1)/(2)]`

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