# Sine (t3g)

Sine and cosine

April 22nd
t3d
13:15
Make some
U-shapes!
1 / 25
Slide 1: Slide
WiskundeMiddelbare schoolvwoLeerjaar 3

This lesson contains 25 slides, with interactive quizzes and text slides.

Lesson duration is: 60 min

## 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
AO

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...
1. Use opposite and adjacent sides in calculations with (inverse) tangent

PR?

#### Slide 6 -Slide

Today's
Intended Learning Outcomes

At the end of the lesson you can...
1. Calculate sides with sine and cosine
2. 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()=AO
tan(AO)=
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()=HO
sin(HO)=
1
Chapter 7
Basic route
37, 38, 44, 45, 47, 48, 52
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()=HA
cos(HA)=
1
Chapter 7
Basic route
37, 38, 44, 45, 47, 48, 52
38, 40, 42, 48, 49, 51

#### Slide 12 -Slide

Cosine

Example: calculate BC.
1
cos()=HA
cos(HA)=
Basic route
37, 38, 44, 45, 47, 48, 52
38, 40, 42, 48, 49, 51

#### Slide 13 -Slide

Cosine

Example: calculate          .
1
cos()=HA
cos(HA)=
B
Basic route
37, 38, 44, 45, 47, 48, 52
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
38, 40, 42, 48, 49, 51

#### Slide 15 -Slide

Trigonometric ratios
How to remember

SOH

CAH

TOA

cos()=HA
sin()=HO
tan()=AO
Basic route
37, 38, 44, 45, 47, 48, 52
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
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

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

Calculate KM.
Round to the
nearest integer.
A
3
B
4
C
6
D
7

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
38, 40, 42, 48, 49, 51

#### Slide 23 -Slide

Practice
Chapter 7
Basic route
37, 38, 44, 45, 47, 48, 52