A complex number zzz has ∣z∣=1|z| = 1∣z∣=1 and arg(z)=θ\text{arg}(z) = \thetaarg(z)=θ. What is the value of 1z+z\frac{1}{z} + zz1+z?
2cosθ2\cos \theta2cosθ
2isinθ2i \sin \theta2isinθ
222
000