The set of all values of a for which the...

The set of all values of a for which the function `f(x)=(a^2-3a+2)(cos^2\ x/4-sin^2\ x/4)+(a-1)x+sin1` does not possess critical points is (A) `[1,oo)` (B) `(0,1) uu (1,4)` (C) `(-2,4)` (D) `(1,3) uu (3,5)`

`[1, oo)`

`(-2,4)`

`(1,3) uu(3,5)`

`(0,1) uu(1,4)`

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