Question

Ce inseamna forma trigonometrica redusa? Adica, ce inseamna redusa?

Answer 1

Răspuns:

z=-1

a=0

b=-1

r=√(a²+b²)=√1=1

t=3π/2

=> z=cos3π/2 + sin3π/2•i

b)

z=-1+i

a=-1

b=1

r=√(a²+b²)=√(1+1)=√2

t € (π/2; π)

sin t= b/r= 1/√2= √2/2

cos t= a/r= -1/√2= -√2/2

=> t= π-π/4= 3π/4

=> z=√2(cos 3π/4 + sin 3π/4•i)