(Solved): Problem 2 From Eulers formula, we know: y(t) = ej = cos() + j sin(), where = t. (a) ...

Problem 2 From Euler’s formula, we know: y(t) = ejθ = cos(θ) + j sin(θ), where θ = πt. (a) How do the magnitude and angle change when y(t) is multiplied by j? Show an example on the coordinate system. (b) Explain how multiplying by j in Problem 2(a) is related to taking the time derivative in Problem 1.