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Using Fundamental Identities

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Presentation on theme: "Using Fundamental Identities"— Presentation transcript:

1 Using Fundamental Identities
PreCalculus 5-1

2 Trigonometric Identities

3 Trigonometric Identities

4 Trigonometric Identities

5 Trigonometric Identities

6 Trigonometric Identities
(1 + sin y) ( sec y – tan y ) cos y Trigonometric Identities

7 Trigonometric Identities

8 Trigonometric Identities

9 Trigonometric Identities
check by graphing Factor Pythagorean Identity Exponents Trigonometric Identities

10 Trigonometric Identities
check by graphing Trigonometric Identities

11 Trigonometric Identities
check by graphing Factor – Perfect Square Pythagorean Identity Exponents Trigonometric Identities

12 Trigonometric Identities

13 Trigonometric Identities
Use trigonometric substitution Substitution Factor out 9, and take square root Pythagorean Identity Square Root Trigonometric Identities

14 Trigonometric Identities
Use logarithm properties to simplify Logarithm property Fundamental identity of Tangent Simplification of fractions Trigonometric Identities

15 Trigonometric Identities
Homework pg 345 – 347 7, 9, 21-26, 33, 37, 43, 45, 49, 55, 59, 63, 67, 82, 89, 91 No need to verify with table feature Trigonometric Identities


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