A2Trig13­1to13­2Day1.notebook
November 20, 2015
Algebra 2
Ch.13 Notes Page 55
P55 13­1 Exploring Periodic Data 13­2 Angles and the Unit Circle
May 12­11:11 AM
13­1 Exploring Periodic Data
A Periodic Function Repeats a pattern of y­values (outputs) at regular intervals
One complete pattern is a Cycle.
The Period of a function is the horizontal length of one cycle.
May 12­11:18 AM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
Identify one cycle in two different ways.
Then determine the period of the function.
May 12­2:06 PM
May 12­11:19 AM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
The amplitude of a periodic function measures the amount of variation in the function values.
The amplitude is half the difference between the max and min values.
May 12­11:19 AM
May 12­11:20 AM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
13­2 Angles and the Unit Circle
An angle is in Standard Position when the vertex is at the origin and one ray is on the positive x­axis.
The ray on the x­axis is the initial side.
The other ray is the terminal side.
May 12­11:22 AM
May 12­11:23 AM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
The measure of an angle is positive when the rotation from the initial side to the terminal side is in the counterclockwise direction. It is negative when the rotation is clockwise.
May 12­11:23 AM
May 12­11:24 AM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
Two angles in standard position are coterminal angles if they have the same terminal side.
May 12­11:24 AM
SOHCAHTOA
May 14­10:12 AM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
May 12­2:22 PM
The Unit Circle
The Unit Circle has a Radius of 1 and its center at the origin. Points on the unit circle are related to periodic functions.
May 12­2:25 PM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
May 12­2:29 PM
May 12­2:28 PM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
SOHCAHTOA
Cos = x/r
Sin = y/r May 12­11:25 AM
Find the Exact Values of Cos (30) and Sin (30)
May 12­11:26 AM
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A2Trig13­1to13­2Day1.notebook
November 20, 2015
HW #59
13­1 WS #All
13­2 WS #1,3,5,7,9,21­25,51,66
Please put your name and class period at the top of the homework. Also include the homework number.
May 12­3:00 PM
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