How to rotate camera on sine wave.

I tried to rotate my camera based off of Mathf.Sin(Time.time), but it just didn't work. My script is here:

 public Transform head;
 public float amplitude = 5f;
 public float multiplier = 5f;
 public float rotAmplitude = 5f;
 public float rotMultiplier = 5f;
 public Vector3 originalHeadPos;
 public Vector3 originalHeadRot;

 // Start is called before the first frame update
 void Start()
 {
     
 }

 // Update is called once per frame
 void Update()
 {
     float headDeltaY = Mathf.Sin(Time.time * amplitude) / multiplier;
     float headDeltaX = Mathf.Sin(Time.time * (amplitude/2)) / multiplier;
     float headRot = Mathf.Sin(Time.time * rotAmplitude) * rotMultiplier;
     //head.localPosition = new Vector3(originalHeadPos.x + headDeltaX, originalHeadPos.y + headDeltaY, originalHeadPos.z);
     head.transform.eulerAngles = new Vector3(head.localRotation.x, headRot, headRot);
 }

When I attach this to my camera and run the game, it does wiggle a little bit, but it wiggles in... waves? It rotates properly for a second, and then it rotates real slow. Then it rotates faster again. Can anybody help me?