3Tvwo §6.3 / 3Thavo §6.4

§6.3 Sine and cosine
First a look back at §6.2!
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§6.3 Sine and cosine
First a look back at §6.2!

Slide 1 - Diapositive

2a
If 6 =

then a = ......

Slide 2 - Carte mentale

a32
If 4 =

then a = .....

Slide 3 - Carte mentale

Using the tangent to calculate the angle of elevation.
+ Take an empty space in your notebook and first
+ Make a Sketch of this:

Slide 4 - Diapositive

The Sketch:

Slide 5 - Diapositive

Now calculate:

+ the angle of elevation
+ using         a. your Sketch  and 
                         b. your calculator

Slide 6 - Diapositive

Solution:

Slide 7 - Diapositive

Difference between a tangent and an angle.
A
there is none, in fact
B
a tangent is about steepness; an angle is not
C
an angle is in degrees; a tangent is a number
D
an angle is a number; a tangent is in degrees

Slide 8 - Quiz

you use 'shift tan' on the Casio, when you
A
know the angle and you want to know the tangent.
B
know 2 sides of a right-angled triangle and you want to calculate the 3rd side.
C
know the tangent and you want to know the angle.
D
want to round an angle to a whole number of degrees.

Slide 9 - Quiz

Homework time.
Do §6.3 now.
Later this LessonUp will be continued.
timer
5:00

Slide 10 - Diapositive

What's new in §6.3 ?
A lot!
The reason for this: sometimes it is better to use:
SINE or COSINE than TANGENT!
Just watch the next slide!
You will also see a way to remember all three of them!

Slide 11 - Diapositive

Slide 12 - Diapositive

Three more things...
1.       Which angle is meant?
2.      A mistake in the book!
3.       A joke (or two).

Slide 13 - Diapositive

Slide 14 - Diapositive

1.   Which angle do you mean?!?

Slide 15 - Diapositive

2.  Mistake in the book, p.201:
16d, 'Angle S' should be 'Angle P'!
Correct this, with a pencil.

Slide 16 - Diapositive

Slide 17 - Diapositive

Homework time again.
Try to finish the paragraph.

Slide 18 - Diapositive