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MTH4153-sine and cosine laws

Shang-Jung Lee

Created on January 9, 2023

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Transcript

GEOMETRY Sine and cosine laws

VIDEOGAME

VIDEOGAME

PRESS START

HI-SCORE

51122

MENÚ

INTRODUCTION

CHARACTERS (examples)

MISSIONS (exercises)

© 20XX GENIALLY ESCAPE GAMES

HI-SCORE

51122

INTRODUCTION

1. Using the sine law to find the missing length

2. Using the sine law to find the missing angle

3. Using the cosine law to find the missing length (optional for MTH 4153)

4. Using the cosine law to find the missing angle(optional for MTH 4153)

© 20XX GENIALLY ESCAPE GAMES

HI-SCORE

51122

CHARACTERS

Click to view different examples

Using sine law to find a missing side

Using cosine law to find a missing side

Using sine law to find a missing angle

Using cosine law to find a missing angle

© 20XX GENIALLY ESCAPE GAMES

HI-SCORE

51122

MISSIONS

Pass the missions to obtainthe password numbers

1 SPACE

3 STICK

Sine lawlevel 1

Cosine law

4 FROG

2 PUZZLE

Putting it all together

Sine lawlevel 2

PASSWORD

© 20XX GENIALLY ESCAPE GAMES

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LEVEL 1

OF 5

Pythagorean theorem

Sine law

sin(40) and its oposite side 4.7

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LEVEL 2

OF 5

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LEVEL 3

OF 5

~6

~7

~8

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LEVEL 4

OF 5

~ 2.1 cm

~ 8.1 cm

~ 1.54 cm

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LEVEL 5

OF 5

~4.14 cm

~2.08 cm

~3.91 cm

CONGRATULATIONSon finishing mission 1!

THE NUMBER OF THIS MISSION IS 1

Not yet Game over!

Go back?

YES

NO (back to home page for a review!)

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LEVEL 1

OF 5

NEXT

90 degrees

~ 72 degrees

0.95 degrees

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LEVEL 2

OF 5

NEXT

No, sine law is not for right triangle.

No, because the angle is acute.

Yes, because sine law can be use on any triangle.

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LEVEL 3

OF 5

NEXT

~ 3 degrees

~ 18 degrees

~ 19 degrees

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LEVEL 4

OF 5

NEXT

~133 degrees

~ 47 degrees

~174 degrees

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LEVEL 5

OF 5

NEXT

~ 1.22 cm

~ 1.74 cm

~ 3.72 cm

CONGRATULATIONSon finishing mission 2!

THE NUMBER OF THIS MISSION IS 3

Don't give up!

Go back?

YES

NO (back to the home page for a review)

Click on the image to enlarge it.

LEVEL 1

OF 5

~ 3.72

Skipping cosine law

~ 8.66

~ 6.18

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LEVEL 2

OF 5

~ 4.7

~ 3.6

~ 12.9

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LEVEL 3

OF 5

~ 5.18

not enough information

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LEVEL 4

OF 5

!~ 84 degrees

~ 23 degrees

~ 67 degrees

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LEVEL 5

OF 5

~ 139 cegrees

~ 41 degrees

~ 49 degrees

CONGRATULATIONSon finishing mission 3!

THE NUMBER OF THIS MISSION IS 2

You're so close!

Go back?

YES

NO (back to home page for a review)

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LEVEL 1

OF 3

~ 13

~ 11

Not enough information

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LEVEL 2

OF 3

Choose the closest one.

11.76

11.16

11.09

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LEVEL 3

OF 3

~ 72 degrees

~ 41 degrees

~ 68 degrees

CONGRATULATIONSon finishing mission 3!

THE NUMBER OF THIS MISSION IS 4

Keep going!

Go back?

YES

NO (back to the home page for a review)

Enter the correct code 👾

Numbers acquired from missions