Write down the period of the function y=cos x
The period of the function y = cos(x) can be determined by analyzing the graph of the cosine function or by using the properties of cosine.
To understand the concept of period, we need to consider the general form of the cosine function: y = A * cos(Bx + C) + D. In this form, A represents the amplitude, B is associated with the frequency (related to period), C denotes phase shift, and D is the vertical shift. However, for the function y = cos(x), these parameters are not explicitly specified because they take on their standard values.
The cosine function is a periodic function, which means it repeats itself over and over again. The specific part of the function that repeats is known as one cycle. To find the period, we need to determine the length of one complete cycle.
The standard cosine function y = cos(x) has a period of 2π. This means that the function repeats itself every 2π units along the x-axis. So, for any value of x, if we add or subtract 2π, we obtain the same y-value.
To summarize, the period of the function y = cos(x) is 2π.