John says that the value of the function cos[$ \omega $(t + T)+ $\varphi$],obtained one period T after time t,is greater than cos($ \omega $t + $\varphi$)by 2 $\pi$.Larry says that it is greater by the addition of 1.00 to cos($ \omega $t + $\varphi$).Which one,if either,is correct?
A)John,because $ \omega $T = 2 $\pi$.
B)John,because$ \omega $T = 1 radian.
C)Larry,because $ \omega $T = 2 $\pi$.
D)Larry,because $ \omega $T = 1 radian.
E)Neither,because cos($\theta$ + 2$ \omega $)= cos$\theta$.

Question

Quizplus · Accepted Answer

The cosine function is periodic with a period of 2π, meaning cos(θ + 2π) = cos(θ). Therefore, neither John nor Larry is correct in their statements about the change in value.

John Says That the Value of the Function Cos[ ω \omega ω

John Says That the Value of the Function Cos[ $\omega$