4.2 The Unit Circle Part 2

4.2 The Unit Circle Part 2 - 4.2 The Unit Circle Part 2...

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Unformatted text preview: 4.2 The Unit Circle Part 2 Sunday, August 21, 2011 5:10 PM Agenda: 0. Please pick up a whiteboard on the stool as you come in! 1. Homework Roll 2. Whiteboard Work (is this color better than this one?) 3. Lesson: 4.2 The Unit Circle Part 2 ____________________________________ Homework Roll Roll HW# 1,2,3 1 4,5,6 2 ____________________________________ Whiteboard Work (Yes, on your whiteboard. You did remember your pen, correct?) Evaluate the 6 trigonometric functions of the real number. 1. 2. (what is the coterminal angle to this between 0 and 2 ?) Keep your whiteboard and pen on your desk. We will use them today every time you see the new whiteboard color... ____________________________________ Lesson: 4.2 The Unit Circle Part 2 Goal: Evaluate trig functions using its period and whether the function is odd or even. DOD Warmup 2. demonstrate that these trig functions are periodic, which means that they repeat over a specific interval (or period). Sine, Cosine, Cosecant and Secant function values repeat every 2π, so their period is 2π. Tangent and Cotangent function values repeat every π, so their period is π. Ch_1 Page 1 For all trig functions, n 2) n) (I used here. I could have used any other trig functions) Example: 2 Because c tan c 2 ____________________________________ Odd and Even Functions Review Odd Function Even Function ) ) ) ) "opposite of the input makes the output "opposite of the input does not change the output" opposite" Example: ) 2 )2 ) 2 Example: ) ) ) ____________________________________ Odd and Even Trig Functions Odd Functions Even Functions ) )c n n) c ) ) ) cc cc ) ec ec ) ) tan tan ) ) ct ct ) Examples Evaluate n 2 c Ch_1 Page 2 2 n n ) 2 n )=_________ cc )=_________ ) c c ec Ch_1 Page 3 ) ) 2 n n ) ) ) ________ ...
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This note was uploaded on 11/19/2011 for the course MATH 180 taught by Professor Byrns during the Spring '11 term at Montgomery College.

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