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Sumber : PowerPointmaths.com 270 -360 90 180 x y = f(x) 0 360 -90 -180 -270 1 2 -2 3 -3

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Presentation on theme: "Sumber : PowerPointmaths.com 270 -360 90 180 x y = f(x) 0 360 -90 -180 -270 1 2 -2 3 -3"— Presentation transcript:

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2 Sumber : PowerPointmaths.com 270 -360 90 180 x y = f(x) 0 360 -90 -180 -270 1 2 -2 3 -3 http://mediapemb.blogspot.com

3 sinx + circle 90 o 180 o  0o0o 270 o 1 360 o 0o0o 90 o 180 o 270 o http://mediapemb.blogspot.com

4 ksinx 270 -360 90 180 x y = f(x) 0 360 -90 -180 -270 1 2 -2 sinx 2sinx 3 -3 3sinx y = ½sinx http://mediapemb.blogspot.com

5 Amplitude/Period 90 180 x 0 270 -90 -180 -270 1 2 -2 Sinx 2Sinx 3Sinx Amplitude  1 Period 360 o Amplitude  2 Period 360 o Amplitude  3 Period 360 o -360 360 -3 3 http://mediapemb.blogspot.com

6 kcosx 90 180 x y = f(x) 0 270 360 -90 -180 -270 -360 1 2 -2 3 -3 cosx ½cosx 2cosx 3cosx http://mediapemb.blogspot.com

7 ksinx x 4 x x x x y = sinx y = 2sinx y = 3sinx y = ½ sinx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o http://mediapemb.blogspot.com

8 x x x y = cosx y = 2cosx y = 3cosx y = ½ cosx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o x http://mediapemb.blogspot.com

9 x 270 360 -360 y = f(x) 90 180 0 -90 -180 -270 1 2 -2 f(x) = sinx f(x) = sin2x f(x) = sin3x f(x) = sin ½ x http://mediapemb.blogspot.com

10 x 270 360 90 -360 180 y = f(x) 0 -90 -180 -270 1 2 -2 f(x) = cosx f(x) = cos2x f(x) = cos3x f(x) = cos ½ x http://mediapemb.blogspot.com

11 sin kx x 4 xx x x y = sinx y = sin2x y = sin3x y = sin ½ x 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o http://mediapemb.blogspot.com

12 cos kx x 4 x x x x y =cosx y = cos2x y = cos3x y = cos ½ x 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o http://mediapemb.blogspot.com

13 tan x y = tan  0o0o 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 450 o -450 o x http://mediapemb.blogspot.com

14 y = sinx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o y = cosx y = tan  0o0o 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 450 o -450 o x x x http://mediapemb.blogspot.com

15 ksin x and kcos x y = sinx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o y = cosx y = 2sinx y = 2cosx x y = 3sinx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o y = 3cosx x y = ½ sinx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o y = ½ cosx x x http://mediapemb.blogspot.com

16 ksin x and -ksin x x x x x y = sinx y = -2sinx y = 3sinx y = ½ sinx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o y = - sinx y = 2sinx y = - 3sinx y = - ½ sinx http://mediapemb.blogspot.com

17 x x x y = cosx y = 2cosx y = 3cosx y = ½ cosx 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o 0 1 2 3 - 1 - 2 - 3 90 o 180 o 270 o 360 o -90 o -180 o -270 o -360 o y = -cosx y = -2cosx y = -3cosx y = -½ cosx x http://mediapemb.blogspot.com


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