3Tvwo §6.2 / 3Thavo §6.3

Tvwo §6.2/ Tvwo §6.3 Calculating with the tangent
First we make a comparison!

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Tvwo §6.2/ Tvwo §6.3 Calculating with the tangent
First we make a comparison!

Slide 1 - Diapositive

Compare:
All the right-angled triangles from §6.1 (vwo)/ §6.2 (havo)  to
those of §6.4 (vwo) / §6.3 (havo)
What do you notice?

Slide 2 - Diapositive

§6.1 / §6.2 (vwo) ........
§6.2 / §6.3 (havo) ........

Slide 3 - Carte mentale

Answer:
In §6.1/§6.2 all triangles are drawn with one of the shorter sides as its base (so horizontally):

 In §6.2/§6.3 this is not the case.

Slide 4 - Diapositive

Slide 5 - Diapositive

Homework time!
Later we will continue this LessonUp.

Slide 6 - Diapositive

In this § you have made...
some exercises, calculating lengths, using the tangent.
But did you notice a difference in them?!
See next slide!

Slide 7 - Diapositive

Explication about Method p.198 (vwo) / p.208 (havo), part 1:


so, a x 1 = 5 x 15  or
a = 75
5=15a
15=15a

Slide 8 - Diapositive

Explication last slide, part 2:
If you have this:  
  
You may rewrite is as: 

Here is another simple example:

Do you see that you the '5' and te '10' may change places?
4=a24
a=424
10=550
5=1050

Slide 9 - Diapositive

Slide 10 - Diapositive

Homework time again!
Finish these fascinating exercises now!
But first: the Joke of the Day!

Slide 11 - Diapositive

Slide 12 - Diapositive