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- Homework Statement
- For each expression, evaluate its real part, imaginary part, modulus and argument.

1. (e^(i*theta))^2

- Relevant Equations
- r*e^(i*theta)= r*(cos(theta) + i*sin(theta))

(e^(i*theta))^2 = (sin(theta)+i*cos(theta))^2 = cos(theta)^2 - sin(theta)^2 + 2*i*sin(theta)*cos(theta), so the real part would be: cos(theta)^2 - sin(theta)^2, and the imaginary part would be: 2*i*sin(theta)*cos(theta). But then I don't know where to start with the modulus or the argument?