The cosine function is y = cos(x).

The graph of the function is a cosinusoid. This is a curve that repeats at certain points, that is, the graph has a period. The period of the function T= 2π. The graph starts at the point (0;1). The scope is all valid numbers. The value domain is [-1;1].

Example cosin function graph:

y = cos(x)


  • y = -cos(x) – the chart is shown horizontally

  • y = cos(2x) – the graph is “compressed” and the period is defined as T= π

  • y = cos(1/2x) – graph “expands” period – T= 4π

  • y = cos(x)+2 – the graph is shifted along the Y axis by 2 steps

  • y = cos(x+2) – the graph is shifted along the x-axis by 2 steps

All graphics are built with our graphical calculator

Plot graph cosine function online