# trigo ratios

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## Presentation Transcript

GROUP 5

Group 5 Members

### Slide 4:

PROJECT TITLE Trigonometric Ratios

### Slide 5:

Target Audience F.2 Students

### Slide 6:

How Slides are going to be used ? The Slide are going to be used during lesson

### Slide 7:

System Requirement A computer with the following software installed Power Point 97/2000

### Trigonometric Ratios :

Trigonometric Ratios Contents Introduction to Trigonometric Ratios Unit Circle Adjacent , opposite side and hypotenuse of a right angle triangle. Three types trigonometric ratios Conclusion

### Slide 9:

Trigonometry (三角幾何) means “Triangle” and “Measurement” Introduction Trigonometric Ratios In F.2 we concentrated on right angle triangles.

### Unit Circle :

Unit Circle A Unit Circle Is a Circle With Radius Equals to 1 Unit.(We Always Choose Origin As Its centre)

### Adjacent , Opposite Side and Hypotenuse of a Right Angle Triangle. :

Adjacent , Opposite Side and Hypotenuse of a Right Angle Triangle.

### Three Types Trigonometric Ratios :

There are 3 kinds of trigonometric ratios we will learn. sine ratio cosine ratio tangent ratio Three Types Trigonometric Ratios

### Sine Ratios :

Sine Ratios Definition of Sine Ratio. Application of Sine Ratio.

### Slide 16:

Definition of Sine Ratio. 1 If the hypotenuse equals to 1 Sin =

### Slide 17:

Definition of Sine Ratio. For any right-angled triangle Sin =

### Slide 18:

Exercise 1 In the figure, find sin  Sin = Opposite Side hypotenuses = 4 7  = 34.85 (corr to 2 d.p.)

### Slide 19:

Exercise 2 11 In the figure, find y Sin35 = Opposite Side hypotenuses y 11 y = 6.31 (corr to 2.d.p.) 35° y Sin35 = y = 11 sin35

### Cosine Ratios :

Cosine Ratios Definition of Cosine. Relation of Cosine to the sides of right angle triangle.

### Slide 21:

Definition of Cosine Ratio. 1 If the hypotenuse equals to 1 Cos =

### Slide 22:

Definition of Cosine Ratio. For any right-angled triangle Cos =

### Slide 23:

Exercise 3  3 8 In the figure, find cos  cos = adjacent Side hypotenuses = 3 8  = 67.98 (corr to 2 d.p.)

### Slide 24:

Exercise 4 6 In the figure, find x Cos 42 = Adjacent Side hypotenuses 6 x x = 8.07 (corr to 2.d.p.) 42° x Cos 42 = x = 6 Cos 42

### Tangent Ratios :

Tangent Ratios Definition of Tangent. Relation of Tangent to the sides of right angle triangle.

### Slide 26:

Definition of Tangent Ratio. For any right-angled triangle tan =

### Slide 27:

Exercise 5  3 5 In the figure, find tan  tan = adjacent Side Opposite side = 3 5  = 78.69 (corr to 2 d.p.)

### Slide 28:

Exercise 6 z 5 In the figure, find z tan 22 = adjacent Side Opposite side 5 z z = 12.38 (corr to 2 d.p.) 22 tan 22 = 5 tan 22 z =

### Conclusion :

Conclusion Make Sure that the triangle is right-angled

END