If $\cos x + \cos 2x + \cos 3x = 3,$ then find $\sin x + \sin 2x + \sin 3x.$
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
If $\cos x + \cos 2x + \cos 3x = 3,$ then find $\sin x + \sin 2x + \sin 3x.$
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
0
If $\cos x + \cos 2x + \cos 3x = 3,$ then find $\sin x + \sin 2x + \sin 3x.$
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