Simplifying Trig Expressions Using Fundamental Identities

Simplifying Trig Expressions Using Fundamental Identities
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This section focuses on simplifying more complex trig expressions using fundamental trigonometric identities such as reciprocal, quotient, Pythagorean, cofunction, even and odd identities. The

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PowerPoint presentation about 'Simplifying Trig Expressions Using Fundamental Identities'. This presentation describes the topic on This section focuses on simplifying more complex trig expressions using fundamental trigonometric identities such as reciprocal, quotient, Pythagorean, cofunction, even and odd identities. The. The key topics included in this slideshow are . Download this presentation absolutely free.

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Slide2Section 5.1Simplifying More Trig Expressions

Slide3Fundamental Trigonometric Identities:Reciprocal Identities: Quotient Identities: Pythagorean Identities: Cofunction Identities:

Slide4Even / Odd Identities:

Slide5Trig Identities• Any relationship that is true for all values of the variable for which each side is defined is called an  identity .    • We can use trig identities to simplify trig expressions, prove other identities and solve more complex trig equations.

Slide6Strategies for Simplifying Trig Expressions:1. 2. 3. 4. 5.

Slide7We can factor trigonometric expressions, too!Ex 1: Factor each trig expression A. B. C.

Slide8Ex 2:  Use trig identities to simplify

Slide9Ex 3:  Use trig identities to simplify

Slide10Ex 4: Simplify by factoring:

Slide11Ex 5: Use trig identities to simplify

Slide12Ex 6: Simplify by adding the fractions first:

Slide13Ex 7: Simplify by factoring

Slide14Ex 8: Simplify by adding the fractions first:

Slide15HomeworkPage 379 (2, 27-36 multiples of 3, 45-53 odd, 61, 64, 65)