Please see here,
http://en.wikipedia.org/wiki/De_Moivre%27s_formula
Also,
Also,
[substitute the value of , proved above.]
Formula used:
My question is when we use this theorem
z=4(cos60+isin60) * 4(cos 60 +i sin 60)
z^2= 16 (cos 120 +isin 120) *4(cos 60 +i sin 60)
z^3= 64 (cos 180 + i sin 180)
Why do we just add the 60 degrees to each
why do we not distribute? to get 16+ 8 cos 60 +8 i sin 60 + cos 60^2 + (i sin 60)^2
if that is correct how does that become line 2? thanks
Do we add the values because of the sum and difference formulas?
Please see here,
http://en.wikipedia.org/wiki/De_Moivre%27s_formula
Also,
Also,
[substitute the value of , proved above.]
Formula used: