from previous question im told |a|=1
if F is some map F:complex-->complex defined by F(z)=az how can i show the map F is a rotation. i know it will be a rotation because the angles will be added but i get confused about cos(theta)+isin(theta) where abouts on the argand diagram would this lie if cos(theta)+isin(theta)=1
then suppose a=i what would be the rotation then?
If then and so if then which is the same complex number by rotated .
This is Mine 85th Post!!!
Last edited by ThePerfectHacker; Jan 26th 2008 at 02:33 PM.
Let us see what happens. Pick a number, say and graph it on the complex plane. If you multiply this by we get . Pick a point as multiply it by and it becomes . Try it for . Can you guess what type of rotation this is?