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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:.

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Do Now

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  1. 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:

  2. Trigonometric Identities Mr. Lopez April 24, 2014

  3. 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.

  4. Essential Questions • What is an identity? • How do we prove trigonometric identities? • How do we simply trigonometric expressions?

  5. Guided Practice • 1) Prove the identity: (sec x)*(sin x) = tan x • 2) Prove the identity: • 3) Prove the identity:

  6. 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:

  7. 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!!!!

  8. 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.

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