Question

Determine a Forma Trigomométrica em:

a) √3+i
b) -√3+i
c) -√3-i​

Answer 1

a) √3+i => a=√3, b=1 (1°Q)

tgx=b/a=1/√3=√3/3 ==> x=30°

p=√a²+b²= √3+1=√4 = 2

z= 2.(cos30 + i.sen30)

b) -√3+i => a=-√3, b=1 (2°Q)

tgx=b/a=1/-√3=-√3/3 =>x=180-30=150°

p=√a²+b²= √3+1=√4 = 2

z= 2.(cos150 + i.sen150)

c) -√3 -i => a=-√3, b=-1 (3°Q)

tgx=b/a=-1/-√3=√3/3 =>x=180+30=210°

p=√a²+b²= √3+1=√4 = 2

z= 2.(cos210 + i.sen210)