🎯
Learning Goal
‹4 of 4 in this cluster
Explain symmetry and periodicity
Start lessonBegins with Explain symmetry and periodicity · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
HSF.TF.A.4
**HSF.TF.A.4**: (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
Show moreShow less
HSF.TF.A.4: (+) Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions.
What you'll learn
- Explain why cosine is an even function (cos(-x) = cos(x)) using reflection across the x-axis on the unit circle
- Explain why sine is an odd function (sin(-x) = -sin(x)) using reflection across the x-axis on the unit circle
- Classify tangent as an odd function and justify using tan = sin/cos
- Demonstrate that sin and cos have period 2pi by showing that angles differing by 2pi have the same terminal point
- Demonstrate that tangent has period pi and explain why geometrically
- Use symmetry and periodicity properties to simplify trigonometric expressions
Review first:
Slides
Step through the lesson, or watch it as a narrated video
1
Explain symmetry and periodicity
✓ Start herePractice
Try it on your own
Was this lesson helpful?
Report a problem with this page