complex no. question from sydney boys (1 Viewer)

[ayatoshiki]

i/ prove [cos(x)+isin(x)-1]/[cos(x)+isin(x)+1] = itan(x/2) Proved already
ii/find roots of w^5=1 Done
iii/show roots of the equation
[(2+z)/(2-z)]^5 = 1

are 2itan(kpi/5) where k=0, +1, -1, +2, -2

 

[porcupinetree]

i/ prove [cos(x)+isin(x)-1]/[cos(x)+isin(x)+1] = itan(x/2) Proved already
ii/find roots of w^5=1 Done
iii/show roots of the equation
[(2+z)/(2-z)]^5 = 1

are 2itan(kpi/5) where k=0, +1, -1, +2, -2

 

[ayatoshiki]

thanks for your help

 

[Drsoccerball]

Omg ahaha i was proving them in 5 seperate cases