3Thavo §6.2 Tangent

§6.2 Tangent
= Homework for today.

Let's see what the  'Tangent' of an angle means,
repeating a bit of §6.1 along the way.
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Slide 1: Slide
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This lesson contains 15 slides, with interactive quiz and text slides.

time-iconLesson duration is: 50 min

Items in this lesson

§6.2 Tangent
= Homework for today.

Let's see what the  'Tangent' of an angle means,
repeating a bit of §6.1 along the way.

Slide 1 - Slide

Slide 2 - Slide

Summarizing:
+  The Gradient of an angle and 
+ The Tangent (tan) of an angle 
+ are completely the same things!

Slide 3 - Slide

Homework time.
This LessonUp will be continued...

Slide 4 - Slide

In exercise 9d we read something new!

Slide 5 - Slide

This expression is used when you
+ know the tangent (or gradient) and now
+ you want to know the angle that corresponds to it
+ you key in: SHIFT    TAN   0.625   =   
+  the result will be the angle: 32 degrees,
+ just like you should have measured at 9c!

Slide 6 - Slide

Here is the explanation from the book:

Slide 7 - Slide

What (minor) mistake does Jonny make?

Slide 8 - Slide

Jonny's minor mistake is ...

Slide 9 - Mind map

So...
+ Jonny keyed in a rounded number 
+ instead of the exact division: 

+ by the way: did you notice the BRACKETS, that were used?! 
117

Slide 10 - Slide

Task for comparison:
1. Key in Ranita's - not to be confused with Rinata! - input, but now without brackets!
2. Compare your answer to your answer to 10c.
3. What do you notice?

Slide 11 - Slide

Answer:
without brackets you get:
7.4427.... degrees as an answer, 
which is wrong....
So: don't forget those handy fellows!
Because this really would a major mistake.


Slide 12 - Slide

Slide 13 - Slide

Homework time again.
Let's continue on the fascinating path of Maths!

Slide 14 - Slide

Math Path.

Slide 15 - Slide