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Using and Verifying 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":
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 "Title" Tutorial Summary : This tutorial introduces the known trigonometric identities and their use in the simplification process of trigonometric expressions.  Known trigonometric identities helped reduce the time it takes to simplify trigonometric expressions. The fundamental trigonometric functions are shown in the examples provided with relation to specific scenarios. The Pythagorean identities are derived with the knowledge of one of them. Difference and sum identities of the sine, cosine and tangent functions are shown in this tutorial. They come handy when simplification of trig expressions is needed.

 Tutorial Features: Specific Tutorial Features: • The various trigonometric formulas are shown in the examples. • Step by step examples are shown to verify trigonometric 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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