Question

Z=cosθ+isinθ 求u=1-i+Z的模

Answer 1

u = (1 + cosθ) + i (sinθ - 1)

|u| = [(1 + cosθ)^2 + (sinθ - 1)^2]^0.5

= [1 + 2 cosθ + cos^2θ + 1 - 2 sinθ + sin^2θ]

= √[3 + 2 (cosθ - sinθ)]