Have you recently had an ear infection? Any ear pain? What about dizziness or vertigo? Is there any hearing loss or ringing in the ears?
The symptoms you are experiencing may be associated with an ear condition, which might account for the "sine wave" presentation of the pain. Although vestibular disorders are more commonly associated with vertigo, sometimes, pain can be present as well. A trip to an ENT doctor could rule out this condition.
There is also the possibility that the headache is an atypical presentation of a migraine, or some other neurological condition.
You should indeed go ahead with your consult with the neurologist. Do keep us posted.
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