John Says That the Value of the Function Cos[ω(t

Multiple Choice

John says that the value of the function cos[ω(t + T) + ϕ], obtained one period T after time t, is greater than cos(ωt + ϕ) by 2π. Larry says that it is greater by the addition of 1.00 to cos(ωt + ϕ) . Which one, if either, is correct?

A) John, because ωT = 2π.
B) John, because ωT = 1 radian.
C) Larry, because ωT = 2π.
D) Larry, because ωT = 1 radian.
E) Neither, because cos(θ + 2π) = cosθ.