U Utility Member Joined May 14, 2012 Messages 36 Gender Undisclosed HSC N/A Mar 27, 2013 #1 The Q. is to sketch the region formed by this expression --> arg(z + 2 - 3i) = π / 6. Let z = x + iy...
The Q. is to sketch the region formed by this expression --> arg(z + 2 - 3i) = π / 6. Let z = x + iy...
H HeroicPandas Heroic! Joined Mar 8, 2012 Messages 1,547 Gender Male HSC 2013 Mar 27, 2013 #2 arg( x+2 + i(y-3) = pi/6 right? now arctan[(y-3)/(x+2)] = pi/6 (y-3)/(x+2) = 1/(root3) note that x =/= -3 y = 3 + 1/root3 (x+2) when x= -2, y = 3 (i.e. (-2,3) is a hollow point) and its a line having a an argument of pi/6 to the horizontal line y =3 Last edited: Mar 27, 2013
arg( x+2 + i(y-3) = pi/6 right? now arctan[(y-3)/(x+2)] = pi/6 (y-3)/(x+2) = 1/(root3) note that x =/= -3 y = 3 + 1/root3 (x+2) when x= -2, y = 3 (i.e. (-2,3) is a hollow point) and its a line having a an argument of pi/6 to the horizontal line y =3
C cineti970128 Member Joined Apr 25, 2012 Messages 139 Gender Male HSC 2014 Mar 29, 2013 #3 you realise in the exam they are not going to give you marks on the line expression. just poing an empty dot on (-2,3) and draw a line with pi/6 degree above the horizontal line
you realise in the exam they are not going to give you marks on the line expression. just poing an empty dot on (-2,3) and draw a line with pi/6 degree above the horizontal line
H HeroicPandas Heroic! Joined Mar 8, 2012 Messages 1,547 Gender Male HSC 2013 Mar 29, 2013 #4 cineti970128 said: you realise in the exam they are not going to give you marks on the line expression. just poing an empty dot on (-2,3) and draw a line with pi/6 degree above the horizontal line Click to expand... Read what the OP is asking naughty boy. "Manipulate the expression until you can sketch it..." Think b4 u post...
cineti970128 said: you realise in the exam they are not going to give you marks on the line expression. just poing an empty dot on (-2,3) and draw a line with pi/6 degree above the horizontal line Click to expand... Read what the OP is asking naughty boy. "Manipulate the expression until you can sketch it..." Think b4 u post...
