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Differential Calculus

aru _waitin for 2010...

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Joined:	4 Sep 2007
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22 Dec 2009 15:15:24 IST

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pls explain how 2 draw the graph of {sinx}..fractional part of sinx...

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pls explain how 2 draw the graph of {sinx}..fractional part of sinx...

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kabi

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Joined: 11 Jan 2009

Posts: 575

22 Dec 2009 18:54:39 IST

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We just need to concentrate again on a period only let it be x belonging to 0 to 2pi

Now from x =0 to x=pi/2

everywhere sinx is less than 1 so graph would be same as sin(x) but on x=pi/2 sinx becomes 1 so every comes first point of disconcounity {sin(pi/2)}=0

again after x=pi/2 to x =pi

graph would be same as sin(x)

Then from x =pi to x=2pi ( excluding these points )

sin(x) lie b/w 0 and (-1) so its Greatest integer part would be (-1)

So just add 1 to the graph or in easier way uplift the graph to 1 unit .

Repeat the pattern further on .

Thank u

Deepak Aggarwal

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Joined: 9 May 2009

Posts: 766

22 Dec 2009 19:53:13 IST

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y = f(x) transforms to y = {f(x)}

Plot the horizontal lines for all integral values of y and for the point of intersection on y = f(x) plot draw vertical lines and translate the graph for boundary y = 0 and y = 1.

Deepak Aggarwal

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Joined: 9 May 2009

Posts: 766

22 Dec 2009 20:07:09 IST

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