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 FAIL (the browser should render some flash content, not this). Home »  Mathematics »  Trigonometry

Using Fundamental Identities

 Topic Review on "Title": Reciprocal identities and quotient identities , , , and . Pythagorean identities: , , and .  Co-function identities: , and . Sum and difference identities , and ; , and Double angle identities: , and . Power reducing and half angle formulas: , and  , and Sum-to-product formulas:    Product-to sum formulas: Rapid Study Kit for "Title":
 Flash Movie Flash Game Flash Card Core Concept Tutorial Problem Solving Drill Review Cheat Sheet   "Title" Tutorial Summary : This tutorial introduces the known trigonometric identities and how they are used to reduce trigonometric expressions. Known trigonometric identities are mentioned in this tutorial with the use of examples. The fundamental trigonometric functions are shown in the examples provided with the use of relations and proportional identities. Two of the Pythagorean identities are derived with the knowledge of one of them.

 Tutorial Features: Specific Tutorial Features: • Examples using the fundamental identities and their application in the simplification trigonometric expression are discussed. • Step by step examples are shown to present various trigonometric expressions and identities. Series Features: • Concept map showing inter-connections of new concepts in this tutorial and those previously introduced. • Definition slides introduce terms as they are needed. • Visual representation of concepts • Animated examples—worked out step by step • A concise summary is given at the conclusion of the tutorial.

 "Title" Topic List: Using and verifying identities Fundamental trigonometric functions Pythagorean identities Simplifying expressions Periodicity of trigonometric identities Co-function identities Difference identities Sum identities Double angle identities Proof of double angle sine identities Proof of double angle cosine identities Negative angle formulas Proof of sine negative angle formulas Proof of cosine negative angle formulas Power reducing formulas Half angle identities Sum-to-product formulas Product-to-Sum formulas

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