MA19.PRE.34

Mathematics (2019) Grade(s): 09-12 - Precalculus

MA19.PRE.34

Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.

Unpacked Content

Knowledge

Students know:
  • The characteristics of the unit circle.
  • The characteristics of even and odd functions.

Skills

Students are able to:
  • Transpose coordinates from the unit circle to a graph on the xy-plane.
  • Use the unit circle to verify even and odd trig identities.

Understanding

Students understand that:
  • Basic trig functions can be classified as either even or odd.
  • The repetitive nature of the unit circle creates periodic functions which is displayed in their graphs.

Vocabulary

  • Odd and even symmetry
  • Periodicity
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