Question -
Answer -
Given:
Z = sin π/5 + i (1 –cos π/5)
By using the formula,
sin 2θ = 2 sin θ cos θ
1- cos 2θ = 2 sin2 θ
So,
Z = 2 sin π/10 cosπ/10 + i (2 sin2 π/10)
= 2 sin π/10 (cos π/10+ i sin π/10)
∴ The polar form of sinπ/5 + i (1 – cos π/5) is 2 sin π/10 (cos π/10 + i sin π/10)