L19_blanks - Day 22 Lecture 19 for Mostly About Identities...

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1 Day 22 Lecture 19 for 3/29/2011 Mostly About Identities L18 –Don’t Forget the Basics An equation is an Identity if it is true for ______ or ______ values of its variables . 3. Pythagorean Identities: 4. Even/Odd Identities: 5. CofunctionIdentities: Slide: 2of 10 is 0
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2 L18 –Okay… Identities Are Equations Ex. Simplify: Slide: 3of 10 is 0 L18 –Okay! Identities ARE Algebra. Don’t Forget Algebra Identities like… Which in Conjunction with Pythagorean Identities yields… Slide: 4of 10 is 0
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3 L18 –…Feels a lot like 1140 all of sudden… Ex. Rewrite so that it is not in fractional form. Ex. Factor… Slide: 5of 10 is 0 L18 –Trig. Substitution, Used in Calc 2 or for fun! Ex. Use the substitution , to write as a trigonometric function of . Ex. Use the substitution , to rewrite the equation and then find and . Slide: 6of 10 is 0
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4 L19 –…It’s really More of a Guideline 1) Start with one Side . Pick the ___________ Looking One. Sometimes you have to break this rule. 2) Use known Identities . Follow Algebra Basics Here, Common Denominators are Common Place , Factoring
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