Pythagorean identity and basic trig identities
Start lessonBegins with Pythagorean trig identities · 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.
F 706. Use trigonometric concepts and basic identities to solve problems
F 704. Exhibit knowledge of unit circle trigonometry
Show moreShow less
F 706. Use trigonometric concepts and basic identities to solve problems
F 704. Exhibit knowledge of unit circle trigonometry
What you'll learn
- State the Pythagorean identity sin^2theta + cos^2theta = 1 and explain why it holds for any angle using the unit circle
- Rearrange the Pythagorean identity to isolate sin^2theta or cos^2theta, and use the result to find one trig value given another and the quadrant
- Derive tan^2theta + 1 = sec^2theta and 1 + cot^2theta = csc^2theta by dividing the Pythagorean identity by cos^2theta or sin^2theta
- Apply quotient identities (tantheta = sintheta/costheta, cottheta = costheta/sintheta) to convert between trig functions
- Simplify trig expressions and solve identity problems with the Pythagorean identities
Slides
Step through the lesson, or watch it as a narrated video
1
Pythagorean trig identities
✓ Start herePractice
Try it on your own
Was this lesson helpful?
Report a problem with this page