Trigonometry - Using Fundamental Identities

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

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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