Graphs of Trigonometric Functions

Virginia SOL T.GT.1

Graph and analyze trigonometric functions and apply them to represent periodic phenomena.

What students need to be able to do

  • Sketch the graph of the six parent trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent) for at least a two-period interval.
  • Determine the domain, range, amplitude, period, and asymptote locations for a trigonometric function given a graph or equation.
  • Describe the effects of changing parameters (A, B, C, D) in the standard form of a trigonometric equation on the graph of the function using graphing technology.
  • Sketch the graph of a transformed sine, cosine, or tangent function written in standard form for at least a two-period interval.
  • Apply trigonometric functions and their graphs to represent periodic phenomena.