Final answer:
The fundamental period of the function g(t)=5 cos(200t) is π/100, and the fundamental frequency is 100/π Hz.
Step-by-step explanation:
Finding the Fundamental Period and Frequency
To find the fundamental period (T) of the given function g(t) = 5 cos(200t), we need to identify the angular frequency (ω) which is given as the coefficient of t inside the cosine function. In this case, ω is 200. The formula to find the period is T = 2π/ω. Substituting ω = 200, we get T = 2π/200, which simplifies to T = π/100. This result represents the time it takes for the function to complete one full cycle.
Next, to find the fundamental frequency (f), we use the relationship f = 1/T. Therefore, the frequency is f = 100/π Hz, which is the number of cycles the function completes in one second.