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Mathematics 16 Online
OpenStudy (anonymous):

y=sinx , y=sin3x draw the sketch of the above pair of functions

OpenStudy (amistre64):

that 3 makes the wave compress or stretch

OpenStudy (anonymous):

sir here in y=sin3x 2/3 pi is the period . how to draw the graph of y=sin3x is the main problem for meeeeeeeeeeeeeeeeeeeeeee

OpenStudy (amistre64):

if x = 2pi, we would normally have one complete cycle when x = 2pi/3 in the second one there we have complete a cycle in 1/3 the time

OpenStudy (anonymous):

sr totally confused can u please draw it if u hv time

OpenStudy (amistre64):

notice that the 3 indicates that we are moving 3 times as fast in a given normal period; so we squish the sin by a factor of 1/3

OpenStudy (anonymous):

well thanks please check my answer i am posting

OpenStudy (anonymous):

Please check the graph of y=sin3x

OpenStudy (amistre64):

that looks more like a graph of y=sin(1.5x)

OpenStudy (amistre64):

you need 3 complete cycles stuffed into a normal period of 2pi

OpenStudy (amistre64):

youve only got 1 and a half cyles stuffed in there

OpenStudy (anonymous):

OpenStudy (anonymous):

how would i determine to make number of circles sir ? is it dependent on period or amplitude

OpenStudy (anonymous):

i have attached the complete graph of y=sinx,y=sin3x on the same axes . is that one correct ?

OpenStudy (amistre64):

you are still off on those

OpenStudy (anonymous):

why sir ?

OpenStudy (amistre64):

well, for starter, your sin x (which is spose to be drawn normal) is going factter than the sin 3x (which is faster).

OpenStudy (amistre64):

i drew you a picture

OpenStudy (amistre64):

yep, that the one

OpenStudy (amistre64):

notice how there are 3 sins in the same space as 1 sin?

OpenStudy (anonymous):

sir drew 1 circle of y=sin3x and y=sinx has 3 circles

sam (.sam.):

OpenStudy (amistre64):

OpenStudy (amistre64):

lol, thats not a sketch :P

OpenStudy (anonymous):

ok sir if there was sin6x then there would be 6 circles for sin6x correct ?

OpenStudy (amistre64):

there would be 6 sin waves stuffed into one regular period, yes; not 6 cycles, but 1/6 of a cycle for each one

OpenStudy (amistre64):

the period is 2pi/n where n is the multiplier. in this case n=6

OpenStudy (anonymous):

thanks sir sorry for irritating u in questions line. Actually i have just started 11th grade but m in 9th one. derfore facing some problems well i wnt to share a result with u result of my 8th class just came and i topped the secondary section 6th -12th classes with 10 cgpa it meaans A1 in all subjects

OpenStudy (amistre64):

ill assume thats a good thing :)

OpenStudy (anonymous):

well is there any graph software ?

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