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Mathematics 75 Online
OpenStudy (iwanttogotostanford):

help asap please

OpenStudy (iwanttogotostanford):

@AAbomosalam1998 @Directrix @sooobored @mhchen @eliesaab

OpenStudy (iwanttogotostanford):

@mathmate

OpenStudy (tgstudios):

omgosh so confusing...

OpenStudy (iwanttogotostanford):

i know can you help

OpenStudy (tgstudios):

well... I'm have almost no clue at this... and I'm not even good at this... but I think its A or D... lol don't believe me but it might lead you to think on those... trust me, I don't know

OpenStudy (iwanttogotostanford):

please help @sooobored

OpenStudy (sooobored):

polar coordinates (r,theta) arent that hard, I assume you understand Cartesian coordinates which is (x,y,z) Polar coordinates uses the distance from the center which we call the radius and the angle it makes based off a given reference point (usually the positive x-axis on a graph) Cartestian coordinates uses distances and right angles in order to determine specific location in space @TGstudios

OpenStudy (sooobored):

hopefully that attaches correctly for understanding the relevance of pi

OpenStudy (sooobored):

we consider a full revolution or 360 degrees as being 2pi so 180 degree is pi, 90 is pi/2, 45 is pi/4 180 divided by 5 = 32 degrees which is equal to pi/5 so pi/5 might make the angle look something like this|dw:1477111975869:dw|

OpenStudy (sooobored):

positive angles go around in a counter clockwise direction as shown in the picture above negative angles go around in a clockwise motion as shown here as -pi/5|dw:1477112071789:dw|

OpenStudy (sooobored):

now remember we mentioned how 2pi is a full revolution/circle or 360 degrees, this means any angle plus 2pi is the same angle on a side note 2pi is one full revolution, 2* 2pi is two full revolutions, 5*2pi is five full revolutions, hence n*2pi is n full revolutions where n can only be whole numbers(i.e. n= 0,1,2,3...)

OpenStudy (sooobored):

now explaining how the radius is used, radius is the distance away from the center/origin (0,0) if we were to consider an angle of zero and a distance of x, it would have the ordered pair of (x,0) and look something like this |dw:1477112479782:dw|

OpenStudy (sooobored):

so its kind of the same if you were plotting on the x-axis in cartesian coordinates(x,y) now say we want to plot (x,pi/4) -which is 45 degrees it would look something like this |dw:1477112617088:dw|

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