1. Lesson Plan Subject : Mathematics Level : F.4
Topic : Trigonometric Ratios
Prepared by : CWT
Textbook : Pleasurable Learning Mathematics Chapter 9 ( Section 9.1 to 9.4)
Reference web-site :

2. Content Trigonometric ratios in right-angled triangle
Simple trigonometric identities
Four quadrants
Unit circle
Signs of trigonometric ratios
Trigonometric ratios of any angle
Trigonometric ratios of special angle
Software related to the topic

3. Trigonometric ratios in a right-angled triangle
opposite side C B A b c a
Adjacent side
hypotenuse
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4. Trigonometric ratios in a right-angled triangle
opposite side C B A b c a
Adjacent side
hypotenuse
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5. Trigonometric ratios in a right-angled triangle
opposite side C B A b c a
Adjacent side
hypotenuse
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6. Simple trigonometric identitiesB A b c a
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7. Simple trigonometric identitiesB A b c a
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8. Simple trigonometric identitiesB c a A C b
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9. Simple trigonometric identitiesB c a A C b
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10. Simple trigonometric identitiesB c a A C b
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11. Quadrant Quadrant Quadrant Quadrant Quadrant II I III IVo
Quadrant 90
Quadrant II
Quadrant I o o
180 o
0 or 360
Quadrant
III
Quadrant IV
Back to content o o
270 or - 90

12. Unit Circle Back to content 90 y x 180 0 or 360 270 or - 90 ( x , y )
( 0 , 1 ) P
( x , y ) 1 y o x o o
180 x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1)
Back to content o o
270 or - 90

13. In Quadrant I Back to content 90 y x 180 270 ( x , y ) y x o B
( 0 , 1 ) P
( x , y ) 1 y o o x
180 x C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1 )
Back to content o
270

14. In Quadrant I Back to content 90 y x 180 270 ( x , y ) y x o B
( 0 , 1 ) P
( x , y ) 1 y o x o
180 x C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1 )
Back to content o
270

15. In Quadrant I Back to content 90 y x 180 270 ( x , y ) y x o B
( 0 , 1 ) P
( x , y ) 1 y o x o
180 x C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1 )
Back to content o
270

16. In Quadrant II Back to content 90 y x 180 270 ( x , y ) y x o B
( 0 , 1 ) P
( x , y ) 1 y o x o
180 x C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1 )
Back to content o
270

17. In Quadrant II Back to content 90 y x 180 270 ( x , y ) y x o B
( 0 , 1 ) P
( x , y ) 1 y o x o
180 x C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1 )
Back to content o
270

18. In Quadrant II Back to content 90 y x 180 270 ( x , y ) y x o B
( 0 , 1 ) P
( x , y ) 1 y o x o
180 x C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1 )
Back to content o
270

19. In Quadrant III Back to content 90 y x 180 270 x y ( x , y ) o B
( 0 , 1 ) M x o x
180 o C
( -1 , 0 ) O A
( 1 , 0 ) y 1 P
( x , y ) D
( 0 , -1 )
Back to content o
270

20. In Quadrant III Back to content 90 y x 180 270 x y ( x , y ) o B
( 0 , 1 ) M x o x
180 o C
( -1 , 0 ) O A
( 1 , 0 ) y 1 P
( x , y ) D
( 0 , -1 )
Back to content o
270

21. In Quadrant III Back to content 90 y x 180 270 x y ( x , y ) o B
( 0 , 1 ) M x o x
180 o C
( -1 , 0 ) O A
( 1 , 0 ) y 1 P
( x , y ) D
( 0 , -1 )
Back to content o
270

22. In Quadrant IV Back to content 90 y x 180 270 x y ( x , y ) o B
( 0 , 1 ) x M o O x
180 o C
( -1 , 0 ) A
( 1 , 0 ) y 1 P
( x , y ) D
( 0 , -1 )
Back to content o
270

23. In Quadrant IV Back to content 90 y x 180 270 x y ( x , y ) o B
( 0 , 1 ) x M o O x
180 o C
( -1 , 0 ) A
( 1 , 0 ) y 1 P
( x , y ) D
( 0 , -1 )
Back to content o
270

24. In Quadrant IV Back to content 90 y x 180 270 x y ( x , y ) o B
( 0 , 1 ) x M o O x
180 o C
( -1 , 0 ) A
( 1 , 0 ) y 1 P
( x , y ) D
( 0 , -1 )
Back to content o
270

25. Summary Quadrant II Quadrant I Quadrant III Quadrant IV Sine Allo
Summary 90
Quadrant II
Sine
Quadrant I
All o
0 or 360 o
180
Quadrant III
Tangent
Quadrant IV
Cosine
Back to content o o
270 or - 90

26. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y y o x o o
180 -x x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1)
Back to content o o
270 or - 90

27. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y y o
180 x o o -x x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1)
Back to content o o
270 or - 90

28. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y y o
180 x o o -x x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) D
( 0 , -1)
Back to content o o
270 or - 90

29. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y o -x
180 x o o x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) -y D
( 0 , -1 )
Back to content o o
270 or - 90

30. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y o -x
180 x o o x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) -y D
( 0 , -1)
Back to content o o
270 or - 90

31. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y o -x
180 x o o x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) -y D
( 0 , -1)
Back to content o o
270 or - 90

32. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y o o o
180 x x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) -y D
( 0 , -1)
Back to content o o
270 or - 90

33. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y o o o
180 x x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) -y D
( 0 , -1)
Back to content o o
270 or - 90

34. Trigonometric ratios of any angle90 y B
( 0 , 1 ) P
( x , y ) 1 y o o o
180 x x
0 or 360 C
( -1 , 0 ) O M A
( 1 , 0 ) -y D
( 0 , -1)
Back to content o o
270 or - 90

35. o
Summary 90 o
0 or 360 o
180
Back to content o o
270 or - 90

36. Trigonometric ratios of special angle 45ox 1 1
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37. Trigonometric ratios of special angle 30o ,60o.2 2 y 1 1
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38. Trigonometric ratios of special angle 0o , 90o , 180o , 270o , 360o.
sin 0o = 0
cos 0o = 1
tan 0o = 0
sin 270o = -1
cos 270o = 0
tan 270o = u O M P
( x , y ) 1 x y
( 0 , 1 )
sin 90o = 1
cos 90o = 0
tan 90o = u
sin 360o = 0
cos 360o = 1
tan 360o = 0
( - 1 , 0 )
( 1 , 0 )
sin 180o = 0
cos 180o = -1
tan 180o = 0
( 0 , - 1 )
where u stand for undefined
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39. Software related to the topic : Wingeom
Quadrant.ge2 four quadrants
Sin-cos.ge sine and cosine functions
Tangent.ge tangent function
Trigo.ge2
Note : the wingeom file cannot be opened automatically by
clicking the hyperlink, it only goes to the wingeom
program, you have to click 2-dim, file, old..., and then
choose the corresponding file.
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40. Assignment ~ End ~ Textbook : Pleasurable Learning Mathematics
Exercise 9A (P.81)
Exercise 9B (P.84)
Exercise 9C (P.86)
Online Exercise :
~ End ~
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