Graph of the sine (sin) function - Trigonometry
When the sine of an angle is plotted against that angle measure, the result is a classic
"_________________" shape.
To graph the ___________________, we mark the angle along the horizontal x axis, and for each angle, we put the sine of that angle on the vertical y-axis. The result, as seen above, is a smooth curve that varies from +1 to -1.
Curves that follow this shape are called 'sinusoidal' after the name of the sine function. This shape is also called a sine wave, especially when it appears in radio and electronic circuits.
The ______________ of the sine function is all ________________.
As you drag the point A around notice that after a full rotation about B, the graph shape repeats. The shape of the sine curve is the same for each full rotation of the angle and so the

function is called '______________'. The period of the function is _______________. You can rotate the point as many times as you like. This means you can find the sine of any angle, no matter how large. In mathematical terms we say the 'domain' of the sine function is the set of all real numbers.
_______________
The range of a function is the set of result values it can produce. The sine function has a range that goes from ___________. Looking at the sine curve you can see it never goes outside this range.
Graph f(x) = 2sin(x)
Graph f(x) = sin(x + 1)