Developing the base graphs of trig functions from a circle
On the unit circle the value of sine is related to the value of the y-coordinate, the value of cosine is related to the value of the x-coordinate, and the value of tangent is related to the value of the slope. To plot your desired function, check the box, then click on the point labeled "Drag" to plot the function from 0 to 2π as you drag the point around the circle.
The equation of a trig function f(x) = A*trig(ω(x - h)) + k can be shown by dragging each slider.