Before you begin
Students should be familiar with basic properties of trigonometric functions (e.g. they should know that sin(x) has a period of 2π, a maximum value of 1, and a minimum value of -1). They should also be able to evaluate sin(x) at different values of x, either with a calculator or by hand (in special cases). Familiarity with how graphs shift under translation will also be useful; for example, it’s helpful if students know that the graph of f(x) + k is the graph of f(x) shifted vertically by the value k.