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)
![](https://meowgen.com/wp-content/uploads/2022/08/cosx-1.png)
- y = -cos(x) – the chart is shown horizontally
![](https://meowgen.com/wp-content/uploads/2022/08/mcosx.png)
- y = cos(2x) – the graph is “compressed” and the period is defined as T= π
![](https://meowgen.com/wp-content/uploads/2022/08/cos2x.png)
- y = cos(1/2x) – graph “expands” period – T= 4π
![](https://meowgen.com/wp-content/uploads/2022/08/cos1d2x.png)
- y = cos(x)+2 – the graph is shifted along the Y axis by 2 steps
![](https://meowgen.com/wp-content/uploads/2022/08/cos2xp.png)
- y = cos(x+2) – the graph is shifted along the x-axis by 2 steps
![](https://meowgen.com/wp-content/uploads/2022/08/cosx2x.png)
All graphics are built with our graphical calculator