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Section 5.1 Simplifying More Trig Expressions

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Fundamental Trigonometric Identities: Reciprocal Identities: Quotient Identities: Pythagorean Identities: Cofunction Identities:

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Even / Odd Identities:

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Trig 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.

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Strategies for Simplifying Trig Expressions:

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

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Ex 2: Use trig identities to simplify

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Ex 3: Use trig identities to simplify

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Ex 4: Simplify by factoring:

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Ex 5: Use trig identities to simplify

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Ex 6: Simplify by adding the fractions first:

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Ex 7: Simplify by factoring

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Ex 8: Simplify by adding the fractions first:

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Homework Page 379 (2, multiples of 3, odd, 61, 64, 65)

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