Title: Chapter 6 Trigonometric Ratios
1GROUP 5
2Group 5 Members
3(No Transcript)
4PROJECT TITLE
Trigonometric Ratios
5Target Audience
F.2 Students
6How Slides are going to be used ?
The Slide are going to be used during lesson
7System Requirement
A computer with the following software
installed Power Point 97/2000
8Trigonometric Ratios
- Contents
- Introduction to Trigonometric Ratios
- Unit Circle
- Adjacent , opposite side and hypotenuse of a
right angle triangle. - Three types trigonometric ratios
- Conclusion
9Introduction Trigonometric Ratios
Trigonometry (????) means Triangle and
Measurement
In F.2 we concentrated on right angle triangles.
10Unit Circle
- A Unit Circle Is a Circle With Radius Equals to 1
Unit.(We Always Choose Origin As Its centre)
11Adjacent , Opposite Side and Hypotenuse of a
Right Angle Triangle.
12Opposite side
hypotenuse
Adjacent side
13hypotenuse
Adjacent side
Opposite side
14Three Types Trigonometric Ratios
- There are 3 kinds of trigonometric ratios we will
learn. - sine ratio
- cosine ratio
- tangent ratio
15Sine Ratios
- Definition of Sine Ratio.
- Application of Sine Ratio.
16- Definition of Sine Ratio.
1
If the hypotenuse equals to 1
Sin?
17- Definition of Sine Ratio.
For any right-angled triangle
Sin?
18Exercise 1
In the figure, find sin ?
Opposite Side
Sin?
hypotenuses
4
7
? 34.85? (corr to 2 d.p.)
19Exercise 2
In the figure, find y
y
Opposite Side
Sin35?
hypotenuses
35
11
y
Sin35?
11
y 11 sin35?
y 6.31 (corr to 2.d.p.)
20Cosine Ratios
- Definition of Cosine.
- Relation of Cosine to the sides of right angle
triangle.
21- Definition of Cosine Ratio.
1
If the hypotenuse equals to 1
Cos?
22- Definition of Cosine Ratio.
For any right-angled triangle
Cos?
23Exercise 3
3
In the figure, find cos ?
?
adjacent Side
cos?
8
hypotenuses
3
8
? 67.98? (corr to 2 d.p.)
24Exercise 4
In the figure, find x
6
Adjacent Side
Cos 42?
42
hypotenuses
x
6
Cos 42?
x
6
x
Cos 42?
x 8.07 (corr to 2.d.p.)
25Tangent Ratios
- Definition of Tangent.
- Relation of Tangent to the sides of right angle
triangle.
26- Definition of Tangent Ratio.
For any right-angled triangle
tan?
27Exercise 5
3
In the figure, find tan ?
5
Opposite side
tan?
adjacent Side
?
3
5
? 78.69? (corr to 2 d.p.)
28Exercise 6
In the figure, find z
z
22?
Opposite side
tan 22?
adjacent Side
5
5
tan 22?
z
5
z
tan 22?
z 12.38 (corr to 2 d.p.)
29Conclusion
Make Sure that the triangle is right-angled
30END