y = 2 cos(5πx) .... whats the period?
see question below this one.
for y = cos(kx), the period is 2π/k
apply this to your question
To find the period of the function y = 2 cos(5πx), we need to understand the relationship between the period and the coefficient of x in the cosine function.
The general form of a cosine function is y = A cos(Bx), where A represents the amplitude and B represents the frequency or number of cycles within a given interval.
In this case, the coefficient of x in the given function is 5π. Since the period (T) is defined as the distance it takes for one complete cycle to occur, we can relate it to the frequency (B) as follows:
Period (T) = 2π / |B|
By comparing the equation to our given function, we can determine that B = 5π. Substituting this value into the formula, we get:
T = 2π / |5π| = 2π / 5π = 0.4
So, the period of the function y = 2 cos(5πx) is 0.4.