Aregular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. each of the central angles has a measure of 40°. how many sides does the polygon have? 8 9 10 12

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.