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L18_blanks

# L18_blanks - 2 Quotient Identities 3 Pythagorean Identities...

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1 Day 21 Lecture 18 for 3/24/2011 Mostly About Identities L17 –Alternate Way to Graph Tangent You may or may not have had trouble. Here is an alternative I’ve been showing students who’ve see me in Office Hours. The book ( and myself) say 1 basic cycle of Tangent is from _____ to _____ and looks like this: However, 1 basic cycle of Tangent can also be thought of as from _____ to _____ and would look like this. Slide: 2of 10 is 0

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2 L17 –Alternate Way to Graph Tangent Sketch the graph … by thinking one cycle of tangent is… Slide: 3of 10 is 0 L18 –The Basics Most equations , like… …are said to be conditional which means that they form ______ statements for only some values of their variables . An equation is an Identity if it is true for ______ or ______ values of its variables . If you have not done so all ready, memorize the following: 1. Reciprocal Identities: Slide: 4of 10 is 0
3 L18 –The Basics, Part 2

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Unformatted text preview: 2. Quotient Identities: 3. Pythagorean Identities: 4. Even/Odd Identities: 5. Cofunction Identities: Slide: 5 of 10 is 0 L18 – Identities Help With Equations Ex: If and , evaluate all six trigonometric functions. Ex: If and , evaluate all six trigonometric functions. Slide: 6 of 10 is 0 4 L18 – Okay… Identities Are Equations Ex. Simplify: Slide: 7 of 10 is 0 L18 – Okay! Identities ARE Algebra. Don’t Forget Algebra Identities like… Which in Conjunction with Pythagorean Identities yields… Slide: 8 of 10 is 0 5 L18 – …Feels a lot like 1140 all of sudden… Ex. Rewrite so that it is not in fractional form. Ex. Factor… Slide: 9 of 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: 10 of 10 is 0...
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L18_blanks - 2 Quotient Identities 3 Pythagorean Identities...

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