Question

Find the modulus of z if z=2e^(i*theta). Please help? Thanks so much!

Answer 1

ie, |z| if\[z=2e^{i \theta}\]

Answer 2

\[\large 2e^{i \theta}=2(cos(\theta)+i \sin(\theta))\]
\[|z| = 2\sqrt{\cos^{2} \theta + \sin^{2} \theta} = 2\]

Answer 3

Thank you so much!