The derivative of sine is just cosine, and that is going to come up a LOT. So will these, which you can work out on your own by repeating what we just did with the graphs of sin(x) and cos(x).

Graphs of Sine and Cosine: 1.2: An applet illustrating how the graphs of sine and cosine are related to the unit circle. ... The Derivative of Sine: 3.3: So you know the derivative of sine is cosine, ...