4.2TheUnitCircle - 4.2 The Unit Circle Thursday 3:06 PM Remember whiteboard pens on Monday Also there will be a homework check on Monday Agenda 1

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Unformatted text preview: 4.2 The Unit Circle Thursday, August 18, 2011 3:06 PM Remember whiteboard pens on Monday! Also, there will be a homework check on Monday. Agenda: 1. Warmup 2. Lesson: 4.2 Unit Circle ______________________________ Warmup Sketch the angle in standard position and list the quadrant it lies in. Determine two coterminal angles (one positive and one negative). And convert to degrees, rounded to the nearest hundredth (what does hundredth mean?) 1. 2 (what unit is this angle measure?) ______________________________ Lesson: 4.2 The Unit Circle Goal: Use a unit circle to evaluate trigonometric functions DOD Unit Circle: Circle of radius 1, center at origin ( Ch_1 Page 1 ) multiples multiples Trigonometric Functions Let θ be a real number and i Ch_1 Page 2 the point on the unit circle corresponding to θ. ____________________________ Examples Use your unit circle to evaluate the six trigonometric functions at each real number. 2. 1. (what is the coterminal hi b w d 2π? gl 3. (what is the coterminal angle to this bw d 2π? 4. π Examples 2. and 3. demonstrate that these trig functions are periodic, which means that they repeat over a specific interval (or period). Trig function values repeat every 2π, so their period is 2π. For all trig functions, i 2 i (I used An aside… Ch_1 Page 3 here. I could have used any other trig functions) An aside… Evaluate the 6 trig functions of θ that corresponds to the point A on the unit circle. 1 0.8 0.6 0.4 0.2 1 0.5 0.5 1 0.2 0.4 0.6 A 0.8 1 Ch_1 Page 4 ...
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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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4.2TheUnitCircle - 4.2 The Unit Circle Thursday 3:06 PM Remember whiteboard pens on Monday Also there will be a homework check on Monday Agenda 1

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