Sketching sine and cosine curves are relatively easy. You just need the vertical translation, the magnitude, the period, and the horizontal translation.

Sketching tangent curves are slightly more difficult.

But when it comes to sketching the arc forms of trigonometric functions, I don't really know what to do. I could just study the patern that develops with each one, but that teaches me little. I could plot the points one by one in a few spots by just inserting values into the function, but I think this is cheating. I'm not really sure what else I'm supposed to do.