Download notes for 13.2 File

3-1 Lines and Angles
Paper for notes
Pearson 13.2
Holt Geometry
TOPIC:
3-1 Lines and Angles
13.2
Angles and
the Unit
Circle
Objective:
Holt Geometry
Name: Daisy Basset
Date :
Period:
Notes
Interpret trigonometric
functions as radian
measures of angles
traversed
counterclockwise around
the unit circle.
3-1 Lines and Angles
Key Concept
Cosine & Sine
of an Angle
(draw the picture)
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3-1 Lines and Angles
Vocabulary
 Standard Position
 Initial & Terminal
sides
 Coterminal Angle
 Unit Circle
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3-1 Lines and Angles
Notes 13.2
13.2 handout
 Calculator
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1. Use the notes
handout to
find the
measure of
each angle.
3-1 Lines and Angles
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3-1 Lines and Angles
A. 90º
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3-1 Lines and Angles
B. -135º
-90º
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3-1 Lines and Angles
C. 225º
180º
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2. What is the
sketch of
each angle in
Standard
Position?
3-1 Lines and Angles
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A. 36º
3-1 Lines and Angles
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B. 315º
3-1 Lines and Angles
180º
90º
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C. -150º
3-1 Lines and Angles
-135º
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D. 85º
3-1 Lines and Angles
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Summary
What does the
sign on an angle
measure mean?
3-1 Lines and Angles
Holt Geometry
3-1 Lines and Angles
Hmwk 13.2 A:
Practice: 7, 8, 13 – 17,
45 - 49
Work on the Study Plan
Holt Geometry
13.2
A: Angles
Practice:
Lines
and
3-1Hmwk
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7, 8, 13 – 17, 45 - 49
3-1 Lines and Angles
 Notes 13.2
13.2 Notes Handout
Calculator
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3. Which of the
following angles is
not coterminal with
the other three?
3-1 Lines and Angles
A. 300º
B. -60º
C. 60º
D. -420º
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3-1 Lines and Angles
A. 300º
B. -60º
C. 60º
D.
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


-420º
4. Which of the
following angles is
not coterminal with
the other three?
3-1 Lines and Angles
A. -315º
B. 45º
C. 315º
D. 405º
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3-1 Lines and Angles
Remember:
Two angles are coterminal
if they differ by a multiple of 360º.
-315º
45º
315º
405º
-315º - 45º=-360º 
-315º - 315º=-630º
-315º - 405º=-720º
C.
315º is not coterminal.
______
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5. What are
the cos 
and sin  for
the following
angles?
3-1 Lines and Angles
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A.
cos 90º = 0 sin 90º = 1
3-1 Lines and Angles
(x, y) = ( cos  ,sin  )
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B.
3-1 Lines and Angles
cos -180º=-1
sin -180º= 0
(x, y) = (cos , sin )
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Summary
3-1 Lines and Angles
Without graphing,
how can you
determine if two
angles are
coterminal?
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3-1 Lines and Angles
Hmwk 13.2 B:
Practice: 18 – 25, 27 ,
29, 31, 33
Work on the Study Plan
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Hmwk
13.2and
B: Practice:
Lines
Angles
3-1
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18 – 25, 27 , 29, 31, 33
3-1 Lines and Angles
 Notes 13.2
13.2 Notes Handout
Unit Circle & Chart
Calculator
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C.
3-1 Lines and Angles
cos 270º= 0
sin 270º= -1
(x, y) = (cos , sin )
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D.
3-1 Lines and Angles
cos 360º= 1
sin 360º= 0
(x, y) = (cos , sin )
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E.
3-1 Lines and Angles
cos 540º= -1
sin 540º= 0
(x, y) = (cos , sin )
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6. What are the
cosine and sine
of the angles?
Use the unit
circle handout.
3-1 Lines and Angles
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A.  = 60º
3-1 Lines and Angles
(x, y) = (cos , sin )
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A.  = 60º
3-1 Lines and Angles
(x, y) = (cos , sin )
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A.  = 60º
3-1 Lines and Angles
(x, y) = (cos , sin )
cos 60º=
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1
2
sin 60º=
3
2
and
Angles
3-1 Lines
(x, y) = (cos
B.  = 225º
, sin )
cos 225º=
sin 225º=
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
2
2

2
2
andy)
Angles
3-1 Lines(x,
= (cos , sin )
C.  = -45º
think: 315º
2
cos -45º=
2
 2
sin -45º=
2
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and
Angles
3-1 Lines
(x, y) = (cos
, sin )
D.  = -270º
think: 90º
cos -270º=
1
sin -270º= 0
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Summary
Does a negative
angle measure
indicate negative
values for sine and
cosine?
3-1 Lines and Angles
Holt Geometry
Hmwk 13.2 C:
Math XL
3-1 Lines and Angles
Work on the Study Plan
Holt Geometry