y = 2 cos(5πx) .... whats the period?
when is 5 pi x = 2 pi ????
x = 2/5
To find the period of the function y = 2 cos(5πx), we can use the formula for the period of a cosine function. The general form of a cosine function is y = A cos(Bx - C), where A, B, and C are constants.
In this case, the function is y = 2 cos(5πx), which matches the general form with A = 2, B = 5π, and C = 0.
The period of a cosine function is given by the formula T = 2π / |B|. Plugging in the values, we find:
T = 2π / |5π| = 2π / 5π = 2/5
Therefore, the period of the function y = 2 cos(5πx) is 2/5.
To determine the period of the function y = 2 cos(5πx), we need to understand the relationship between the angle and the period of a cosine function.
The general form of a cosine function is y = A cos(Bx), where A represents the amplitude and B determines the frequency and period.
In our given function y = 2 cos(5πx), we have B = 5πx.
To find the period, we can use the formula:
Period (T) = (2π) / |B|
In our case, B = 5π, so we substitute this value into the formula:
T = (2π) / |5π|
Simplifying this expression, we get:
T = 2 / 5
Therefore, the period of the function y = 2 cos(5πx) is 2/5.