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

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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: 2 of 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: 3 of 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: 4 of 10 is 0
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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. Dont 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...

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