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Sine (t3g)
Sine and cosine
April 22nd
t3d
13:15
Make some
U-shapes!
1 / 25
next
Slide 1:
Slide
Wiskunde
Middelbare school
vwo
Leerjaar 3
This lesson contains
25 slides
, with
interactive quizzes
and
text slides
.
Lesson duration is:
60 min
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Items in this lesson
Sine and cosine
April 22nd
t3d
13:15
Make some
U-shapes!
Slide 1 - Slide
Schedule
Starting up, programme
5 min
(U-shapes)
Review: 10 min
(or: practice)
Sine and cosine
15 min
More examples & practice
30 min
Kahoot 15 min
A
O
Slide 2 - Slide
Programme
Slide 3 - Slide
What do you prefer?
Inside U: more examples, practice while being 'coached'
Outside U: listen sometimes, practice
Back row: practice
Slide 4 - Poll
Last lesson's
Intended Learning Outcomes
At the end of the lesson you could...
Use opposite and adjacent sides in calculations with (inverse) tangent
Slide 5 - Slide
PR?
Slide 6 - Slide
Today's
Intended Learning Outcomes
At the end of the lesson you can...
Calculate sides with
sine
and
cosine
Apply the
SOH CAH TOA
rule
Slide 7 - Slide
tan
and
tan
Want to know a side? Want to know an angle?
Use tan Use tan
shift --> tan
gets you
tan
−
1
tan
(
∠
)
=
A
O
tan
(
A
O
)
=
∠
−
1
−
1
Slide 8 - Slide
You want to know
the length of LM.
What do you use?
A
Tangent
B
Inverse tangent
C
Sine
D
There's not enough information
Slide 9 - Quiz
Calculate the length of LM.
Round to the nearest tenth.
A
10.9
B
16.3
C
19.4
D
20.6
Slide 10 - Quiz
sin
and
sin
Want to know a side? Want to know an angle?
Use
sin
Use
sin
−
1
−
1
sin
(
∠
)
=
H
O
sin
(
H
O
)
=
∠
−
1
Chapter 7
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 11 - Slide
cos
and
cos
Want to know a side? Want to know an angle?
Use
cos
Use
cos
−
1
−
1
cos
(
∠
)
=
H
A
cos
(
H
A
)
=
∠
−
1
Chapter 7
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 12 - Slide
Cosine
Example:
calculate BC.
−
1
cos
(
∠
)
=
H
A
cos
(
H
A
)
=
∠
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 13 - Slide
Cosine
Example:
calculate .
−
1
cos
(
∠
)
=
H
A
cos
(
H
A
)
=
∠
∠
B
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 14 - Slide
Trigonometric ratios
How to remember
SOH
CAH
TOA
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 15 - Slide
Trigonometric ratios
How to remember
SOH
CAH
TOA
cos
(
∠
)
=
H
A
sin
(
∠
)
=
H
O
tan
(
∠
)
=
A
O
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 16 - Slide
Trigonometric ratios
Want to know a side? Want to know an angle?
Use sin/cos/tan Use sin /cos /tan
calculator:
shift --> sin/cos/tan
−
1
−
1
−
1
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 17 - Slide
You want to know
the length of KM.
What do you use?
A
Tangent
B
Sine
C
Inverse sine
D
Inverse cosine
Slide 18 - Quiz
You want to know
the size of
What do you use?
∠
C
.
A
Tangent
B
Sine
C
Inverse sine
D
Inverse cosine
Slide 19 - Quiz
You want to know
the length of LM.
What do you use?
A
Inverse sine
B
Inverse cosine
C
Tangent
D
Cosine
Slide 20 - Quiz
Calculate KM.
Round to the
nearest integer.
A
3
B
4
C
6
D
7
Slide 21 - Quiz
Calculate LM.
Round to the
nearest integer.
A
3
B
4
C
6
D
7
Slide 22 - Quiz
Chapter 7
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 23 - Slide
Practice
Chapter 7
Basic route
37, 38, 44, 45, 47, 48, 52
Advanced route
38, 40, 42, 48, 49, 51
Slide 24 - Slide
Kahoot!
Slide 25 - Slide
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