Slide 1: GROUP 5 Slide 2: 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
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. Slide 12: Adjacent side Opposite side hypotenuse Slide 13: hypotenuse Adjacent side Opposite side Three Types Trigonometric Ratios : There are 3 kinds of trigonometric ratios we will learn.
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 Slide 30: END