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If f(x)=sin^6x+cos^6x , then range of f(...

If `f(x)=sin^6x+cos^6x ,` then range of `f(x)` is `[1/4,1]` (b) `[1/4,3/4]` (c) `[3/4,1]` (d) none of these

A

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

B

`[(1)/(4), (3)/(4)]`

C

`[(3)/(4), 1]`

D

`[1, 2]`

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