Text of Section 5.1 Simplifying More Trig Expressions Fundamental Trigonometric Identities: Reciprocal...

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Slide 2 Section 5.1 Simplifying More Trig Expressions Slide 3 Fundamental Trigonometric Identities: Reciprocal Identities: Quotient Identities: Pythagorean Identities: Cofunction Identities: Slide 4 Even / Odd Identities: Slide 5 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. Slide 6 Strategies for Simplifying Trig Expressions: 1. 2. 3. 4. 5. Slide 7 We can factor trigonometric expressions, too! Ex 1: Factor each trig expression A.B.C. Slide 8 Ex 2: Use trig identities to simplify Slide 9 Ex 3: Use trig identities to simplify Slide 10 Ex 4: Simplify by factoring: Slide 11 Ex 5: Use trig identities to simplify Slide 12 Ex 6: Simplify by adding the fractions first: Slide 13 Ex 7: Simplify by factoring Slide 14 Ex 8: Simplify by adding the fractions first: Slide 15 Homework Page 379 (2, 27-36 multiples of 3, 45-53 odd, 61, 64, 65)