Sinusoidal signal x(t) = 4 cos (200t + π/6) is passed

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Sinusoidal signal x(t) = 4 cos (200t + π/6) is passed through a square law device defined by the input output relation y(t) = x² (t). The DC component in the signal is

1. = 8 + 8 cos 400 t + π
  3
2. = 8 + 16 cos 40 t + π
  3
3. = 15 + 8 cos 100 t + π
  3
4. = 8 + 16 sin 40 t + π
  3

Correct Option: A