Answer:
1 + (3√3 / 4)i
Step-by-step explanation:
Calculate cos(π/3) and sin(π/3):
cos(π/3) = 1/2
sin(π/3) = √3/2
Cube sin(π/3):
(sin(π/3))³ = (√3/2)³ = 3√3 / 8
Multiply by i:
i * (sin(π/3))³ = (3√3 / 8)i
Expand the expression:
2(cos(π/3) + (i(sin(π/3))³) = 2 (1/2 + (3√3 / 8)i)
= 1 + (3√3 / 4)i
