For brevity, we write as .
|Default domain||all real numbers, i.e., all of|
|local maximum value and points of attainment||All local maximum values are equal to 1, and are attained at odd integer multiples of .|
|local minimum value and points of attainment||All local minimum values are equal to 0, and are attained at integer multiples of .|
|points of inflection (both coordinates)||odd multiples of , with value 1/2 at each point.|
|derivative||, i.e., double-angle sine function.|
|mean value over a period||1/2|
|expression as a sinusoidal function plus a constant function|