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Math Study Lounge
These study sheets are for quick review on the subjects. Refer to our rapid courses for comprehensive review.
    - Getting Started with Algebra
    - Geometry Basics
    - How to Solve Math Problems
    - Trigonometry Quick Review
    - Statistics At-A-Glance
    - Calculus Preview

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

See all 24 lessons in Trigonometry, including concept tutorials, problem drills and cheat sheets:
Teach Yourself Trigonometry Visually in 24 Hours

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