If cos(x+pi/3)+cos x=a has real solutio...

If `cos(x+pi/3)+cos x=a` has real solutions, then (a) number of integral values of `a` are 3 (b) sum of number of integral values of `a `is `0` (c) when `a=1` , number of solutions for `x in [0,2pi]` are 3 (d) when `a=1,` number of solutions for `x in [0,2pi]` are 2

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