Trigo Ratios
- 1. I would like to give credit to the following people below for the wonderful PowerPoint presentation. Thank you very much, Ms. Garcia Moy Yee Ping 3 Szeto Kwok Fai 2 Chau Ping 1
- 2. Trigonometry ( 三角幾何 ) means “ Triangle” and “Measurement” Introduction Trigonometric Ratios
- 3. Adjacent , Opposite Side and Hypotenuse of a Right Angle Triangle .
- 4. Adjacent side Opposite side hypotenuse
- 5. hypotenuse Adjacent side Opposite side
- 6. Three Types Trigonometric Ratios There are 3 kinds of trigonometric ratios we will learn. sine ratio cosine ratio tangent ratio
- 7. Sine Ratios Definition of Sine Ratio. Application of Sine Ratio.
- 8. Definition of Sine Ratio . 1 If the hypotenuse equals to 1 Sin = Opposite sides
- 9. Definition of Sine Ratio . For any right-angled triangle Sin = Opposite side hypotenuses
- 10. Exercise 1 In the figure, find sin Sin = Opposite Side hypotenuses = 4 7 = 34.85 (corr to 2 d.p.) 4 7
- 11. 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
- 12. Cosine Ratios Definition of Cosine. Relation of Cosine to the sides of right angle triangle.
- 13. Definition of Cosine Ratio . 1 If the hypotenuse equals to 1 Cos = Adjacent Side
- 14. Definition of Cosine Ratio . For any right-angled triangle Cos = hypotenuses Adjacent Side
- 15. Exercise 3 3 8 In the figure, find cos cos = adjacent Side hypotenuses = 3 8 = 67.98 (corr to 2 d.p.)
- 16. 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
- 17. Tangent Ratios Definition of Tangent. Relation of Tangent to the sides of right angle triangle.
- 18. Definition of Tangent Ratio. For any right-angled triangle tan = Adjacent Side Opposite Side
- 19. Exercise 5 3 5 In the figure, find tan tan = adjacent Side Opposite side = 3 5 = 78.69 (corr to 2 d.p.)
- 20. 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 =
- 21. Conclusion Make Sure that the triangle is right-angled
- 22. The END