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

If `cos(x+pi//3)+cosx=a` has real solutions, then

A

number of integal values of a is 3

B

sum of number of integral values of a is 0

C

when a = 1 , number of solutions for `x in [0, 2 pi] ` are 3

D

when a = 1 , number of solution for `x in [0, 2 pi] ` are 2

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The correct Answer is:

A, B, D

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