This preview shows pages 1–4. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 ...
View
Full
Document
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.
 Spring '11
 byrns
 Math, Unit Circle

Click to edit the document details