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Unit #5: Trigonometric Identities

Dive into the world of trigonometric identities, focusing on reciprocal, quotient, and Pythagorean identities. This resource elucidates how these identities can represent relationships between sine, cosine, and other trigonometric functions. Learn the fundamentals, explore examples, and understand the beauty of these mathematical expressions. Moreover, variations using arithmetic and methods for verifying identities will be discussed, providing a comprehensive understanding essential for mastering trigonometry and its applications.

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Unit #5: Trigonometric Identities

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  1. explorerforum.com Unit #5: Trigonometric Identities

  2. Reciprocal, Quotient, and Pythagorean Identities Day #1

  3. Standard Deviants “Identities” • http://player.discoveryeducation.com/index.cfm?guidAssetId=74999619-F56C-4E25-8D11-44A2FC29D93C

  4. What is an Identity? An identity is a statement that two expressions are equal for every value of the variable. Example: www.mccd.edu/.../PowerPoints/Verifying%20Trigonometric%20Iden...

  5. Quotient Identities The Fundamental Identities Reciprocal Identities The beauty of the identities is that we can get all functions in terms of sine and cosine. www.mccd.edu/.../PowerPoints/Verifying%20Trigonometric%20Iden...

  6. Identities for Negatives The Fundamental Identities www.mccd.edu/.../PowerPoints/Verifying%20Trigonometric%20Iden...

  7. The Fundamental Identities Pythagorean Identities X The only unique Identity here is the top one, the other two can be obtained using the top identity… www.mccd.edu/.../PowerPoints/Verifying%20Trigonometric%20Iden...

  8. Divide all terms by cos2 cos2 cos2 cos2 What trig function is this squared? 1 What trig function is this squared? Divide all terms by sin2 sin2 sin2 sin2 1 What trig function is this squared? What trig function is this squared? www.gdn.edu/faculty/mzabdawi/Pre-Calculus/Sec%206.2.ppt

  9. Variations of these Identities Variations of Identities using Arithmetic We can create different versions of many of these identities by using arithmetic. www.mccd.edu/.../PowerPoints/Verifying%20Trigonometric%20Iden...

  10. Let’s look at some examples! www.mccd.edu/.../PowerPoints/Verifying%20Trigonometric%20Iden...

  11. Simplify a Trigonometric Expression bvsd.org/schools/.../masse/.../PC5.2Trigonometric%20Identities.ppt

  12. Simplify a Trigonometric Expression bvsd.org/schools/.../masse/.../PC5.2Trigonometric%20Identities.ppt

  13. Simplify a Trigonometric Expression bvsd.org/schools/.../masse/.../PC5.2Trigonometric%20Identities.ppt

  14. Simplify a Trigonometric Expression bvsd.org/schools/.../masse/.../PC5.2Trigonometric%20Identities.ppt

  15. Homework Page 585 #17-26

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