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Do Now. Take out Extra Credit Assignment from Mrs. Cheung Reminder: Office Hours from 3:30 to 4:30pm Warm Up 1) Write down 3 Reciprocal Identities 2) Write down 2 Tangent and Cotangent Identities 3) Write down 1 Pythagorean Identity 4) Using known identities to simplify the following:.

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do now
Do Now
  • Take out Extra Credit Assignment from Mrs. Cheung
  • Reminder: Office Hours from 3:30 to 4:30pm

Warm Up

  • 1) Write down 3 Reciprocal Identities
  • 2) Write down 2 Tangent and Cotangent Identities
  • 3) Write down 1 Pythagorean Identity
  • 4) Using known identities to simplify the following:
trigonometric identities

Trigonometric Identities

Mr. Lopez

April 24, 2014

students will be able to
Students will be able to…
  • Use algebra to simplify trigonometric expressions and to establish identities by applying the Reciprocal Identities, Pythagorean Identities, and Negative-Angle Identities.
essential questions
Essential Questions
  • What is an identity?
  • How do we prove trigonometric identities?
  • How do we simply trigonometric expressions?
guided practice
Guided Practice
  • 1) Prove the identity: (sec x)*(sin x) = tan x
  • 2) Prove the identity:
  • 3) Prove the identity:
your turn
Your Turn!!
  • 1) Prove the second Pythagorean Theorem.
  • 2) Prove the third Pythagorean Theorem.

Hint: Use the first Pythagorean Theorem.

Challenge:

3) Prove the following identity:

math fair 30 min
Math Fair!! ---30 min
  • Get your handout from Wednesday
  • Select your partners
  • Division of Labor
  • Research Ideas related to Trig
  • Possible Topics: See Chapters 6, 7 and especially 8
  • Select a topic….Be Specific and Creative!!!!
independent practice
Independent Practice
  • Review pg. 459, specifically the table of identities.
  • Read pg. 463, Guidelines for Establishing Identities.
  • Do brain exercises: 9, 11, 13, 19, 23, 27, 49, 53 and 69 on page 464-465

Note: For these 10 exercises, show all steps and justify each step.

*If you finish early, work on math fair project.