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8/16/2019 Basic Trigonometry With Right Triangles
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rientation
In this presentation…• Label the sides of a right triangle
(HOA)
• Trig Ratios (SohCahToa)•
with numbers• with variables
• Use Trig to solve equations• for a missing side
• for a missing angle
Trigonometr
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the relationship between
the angles and sides of righttriangles!
90
Intro
Trigonometr –
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Guided Instruction
H y p o t e n u
s
e
O
p p
o s
i t e
Adjacent
S
m
j
k
!
H"otenuse – the longest side"across from the right angle
O""osite – across
Ad#a$ent – ne#t to
HOW DO WE LABEL THE SIDES OF A
RIGHT TRIANGLE?
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HOW DO WE LABEL THE SIDES OF A
RIGHT TRIANGLE?
H y p o t e n u s
e
H y p o
t e n u s
e
H y p o t e n u
s
e
Opposite
Opposite O
p p
o s
i t e
A
d j a c e n t
Adjacent
A d
j a c
e n t
S
m
j
k
!
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% H y
p o t e
n u s e
H y p o
t e n u
s e
O p p
o s i t
e
O p p
o s i t
e Adjacent
Adjacent
%
%
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&'AL& O* S+,&
$
%
&
Hyp'
Opp'
Adj'
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&'AL& O* S+,&
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&'AL& O* COS+,&
Hyp'
Opp
'
Adj'
&
(%
()
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&'AL& O* COS+,&
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&'AL& O* TA,-&,T
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y
y
y
,
,
,
#
#
#
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+
+
+
(-
(-
(&
(&
(&
(-
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.
.
.
n
n
n
m
m
m
.
.
.
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Guided Instruction
Set up and Solve Tri E!uations
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Guided Instruction
STE"S #or usin Tri
(/!edraw triangle
)/abel H O A
%/1etermine which touse2 33 3 or
$/Set up and solve
e4uation incalculator
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Guided Instruction
Set up and Solve Tri E!uations
H"!
O""!
Ad
#!
/
0 1
23
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buttonfordegrees
trig
/
0 1
23
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Guided Instruction
Set up and Solve Tri E!uations
H"!
O""!
Ad
#!
/
0 1
23
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Guided Instruction
Set up and Solve Tri E!uations
H"!
O""!Ad
#!1 3/
4
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Guided Instruction