Pre-Calculus - Using and Verifying Identities

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

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 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

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